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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Number Theory. Papers on this page are organised in collections from 11- through 11Z, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

11-xx: Number theory 11Axx: Elementary number theory 11Bxx: Sequences and sets 11Cxx: Polynomials and matrices 11Dxx: Diophantine equations 11Exx: Forms and linear algebraic groups 11Fxx: Discontinuous groups and automorphic forms 11Gxx: Arithmetic algebraic geometry (Diophantine geometry) 11Hxx: Geometry of numbers 11Jxx: Diophantine approximation, transcendental number theory 11Kxx: Probabilistic theory: distribution modulo $1$; metric theory of algorithms 11Lxx: Exponential sums and character sums 11Mxx: Zeta and $L$-functions: analytic theory 11Nxx: Multiplicative number theory 11Pxx: Additive number theory; partitions 11Rxx: Algebraic number theory: global fields 11Sxx: Algebraic number theory: local and $p$-adic fields 11Txx: Finite fields and commutative rings (number-theoretic aspects) 11Uxx: Connections with logic 11Yxx: Computational number theory 11Zxx: Miscellaneous applications of number theory

Number theory (11-XX)

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Article
Wild Galois representations: a family of hyperelliptic curves with large inertia image
NIRVANA COPPOLA
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 173, Issue 3

Article
AN ARITHMETIC EQUIVALENCE OF THE RIEMANN HYPOTHESIS
MARC DELÉGLISE, JEAN-LOUIS NICOLAS
Journal of the Australian Mathematical Society, Volume 106, Issue 2

Article
ABCOLOGICAL ANECDOTES
D. W. Masser
Mathematika, Volume 63, Issue 3

Article
Computing Jacobi forms
Nathan C. Ryan, Nicolás Sirolli, Nils-Peter Skoruppa, Gonzalo Tornaría
LMS Journal of Computation and Mathematics, Volume 19, Issue A

Article
Collecting relations for the number field sieve in $\text{GF}(p^{6})$
Pierrick Gaudry, Laurent Grémy, Marion Videau
LMS Journal of Computation and Mathematics, Volume 19, Issue A

Article
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Jennifer S. Balakrishnan, Wei Ho, Nathan Kaplan, Simon Spicer, William Stein, James Weigandt
LMS Journal of Computation and Mathematics, Volume 19, Issue A

Article
An application of the $p$ -adic analytic class number formula
Claus Fieker, Yinan Zhang
LMS Journal of Computation and Mathematics, Volume 19, Issue 1

Article
Hyperelliptic modular curves $X_{0}(n)$ and isogenies of elliptic curves over quadratic fields
Peter Bruin, Filip Najman
LMS Journal of Computation and Mathematics, Volume 18, Issue 1

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Elementary number theory (11Axx)

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Article
Totally positive elements with m partitions exist in almost all real quadratic fields
Mikuláš Zindulka
Proceedings of the Edinburgh Mathematical Society, First View

Article
ON THE LARGEST PRIME DIVISOR OF n! + 1
LI LAI
Bulletin of the Australian Mathematical Society, First View

Article
On The Schinzel–Wójcik Problem Under Hypothesis H
M. ANWAR
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
On quantum modular forms of non-zero weights
Sandro Bettin, Sary Drappeau
Compositio Mathematica, Volume 161, Issue 11

Article
RUNS IN PAPERFOLDING SEQUENCES
JEFFREY SHALLIT
Bulletin of the Australian Mathematical Society, First View

Article
DIVISIBILITY AMONG POWER GCD MATRICES AND POWER LCM MATRICES
SHAOFANG HONG
Bulletin of the Australian Mathematical Society, First View

Article
Oscillation results for the summatory functions of fake $\mu $’s
Greg Martin, Chi Hoi Yip
Canadian Journal of Mathematics, First View

Article
Infinitely repeated partitions of Liouville numbers
Chungwu Ho, Seth Zimmerman
Canadian Mathematical Bulletin, First View

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Sequences and sets (11Bxx)

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Article
ON A PROBLEM OF NATHANSON ON NONMINIMAL ADDITIVE COMPLEMENTS
SHI-QIANG CHEN, YUCHEN DING
Bulletin of the Australian Mathematical Society, First View

Article
Quantitative bounds in a popular polynomial Szemerédi theorem
Xuancheng Shao, Mengdi Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Explicit sumset sizes in additive number theory
Melvyn B. Nathanson
Canadian Mathematical Bulletin, First View

Article
Large Salem sets avoiding nonlinear configurations
Jacob Denson
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
ON ADDITIVE COMPLEMENTS IN THE COMPLEMENT OF A SET OF NATURAL NUMBERS
BHUWANESH RAO PATIL, MOHAN
Bulletin of the Australian Mathematical Society, First View

Article
Local aspects of the Sidorenko property for linear equations
Daniel Altman
Forum of Mathematics, Sigma, Volume 13

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, First View

Article
Metallic mean Wang tiles II: the dynamics of an aperiodic computer chip
Sébastien Labbé
Forum of Mathematics, Sigma, Volume 13

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Polynomials and matrices (11Cxx)

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Article
NOTES ON GENERALISED INTEGRAL POLYNOMIAL PELL EQUATIONS
NGUYEN XUAN THO
Bulletin of the Australian Mathematical Society, First View

Article
NON-DIOPHANTINE SETS IN RINGS OF FUNCTIONS
NATALIA GARCIA-FRITZ, HECTOR PASTEN, THANASES PHEIDAS
The Journal of Symbolic Logic, First View

Article
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
Raf Cluckers, Pierre Dèbes, Yotam I. Hendel, Kien Huu Nguyen, Floris Vermeulen
Forum of Mathematics, Sigma, Volume 13

Article
DIVISIBILITY AMONG POWER GCD MATRICES AND POWER LCM MATRICES
SHAOFANG HONG
Bulletin of the Australian Mathematical Society, First View

Article
Integer solutions of the generalized polynomial Pell equations and their finiteness: The quadratic case
Akanksha Gupta, Ekata Saha
Canadian Mathematical Bulletin, First View

Article
Squarefree values of polynomial discriminants II
Manjul Bhargava, Arul Shankar, Xiaoheng Wang
Forum of Mathematics, Pi, Volume 13

Article
The Brun–Hooley sieve for 𝔽2[X] and squarefree shifts of integer polynomials
Pradipto Banerjee, Amit Kundu
Proceedings of the Edinburgh Mathematical Society, Volume 67, Issue 4

Article
A MORDELL–LANG-TYPE PROBLEM FOR $\mathrm{GL}_{m}$
JASON BELL, DRAGOS GHIOCA, YIFENG HUANG
Bulletin of the Australian Mathematical Society, Volume 111, Issue 3

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Diophantine equations (11Dxx)

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Article
NOTES ON GENERALISED INTEGRAL POLYNOMIAL PELL EQUATIONS
NGUYEN XUAN THO
Bulletin of the Australian Mathematical Society, First View

Article
ON THE LARGEST PRIME DIVISOR OF n! + 1
LI LAI
Bulletin of the Australian Mathematical Society, First View

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, First View

Article
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
Raf Cluckers, Pierre Dèbes, Yotam I. Hendel, Kien Huu Nguyen, Floris Vermeulen
Forum of Mathematics, Sigma, Volume 13

Article
A NOTE ON THE GENERALISED RAMANUJAN–NAGELL EQUATION $x^2=2^m+p^n$
YASUTSUGU FUJITA, MAOHUA LE
Bulletin of the Australian Mathematical Society, First View

Article
Integer solutions of the generalized polynomial Pell equations and their finiteness: The quadratic case
Akanksha Gupta, Ekata Saha
Canadian Mathematical Bulletin, First View

Article
THE FERMAT QUARTIC X4 + Y4 = 2m IN QUADRATIC NUMBER FIELDS
JAYANTH ATHIPATLA
Bulletin of the Australian Mathematical Society, First View

Article
Number of solutions to a special type of unit equations in two unknowns, III
TAKAFUMI MIYAZAKI, ISTVÁN PINK
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 3

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Forms and linear algebraic groups (11Exx)

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Article
SUMS OF SQUARES OF INTEGERS EXCEPT FOR A FIXED ONE
WONJUN CHAE, YUN-SEONG JI, KISUK KIM, KYOUNGMIN KIM, BYEONG-KWEON OH, JONGHEUN YOON
Bulletin of the Australian Mathematical Society, First View

Article
Inequalities for the sequences with unified form
Li-Mei Dou, Zhen-Yu Gao, Larry X.W. Wang
Canadian Journal of Mathematics, First View

Article
Signature maps from positive cones on algebras with involution
Vincent Astier, Thomas Unger
Canadian Journal of Mathematics, First View

Article
K3 SURFACES AND ORTHOGONAL MODULAR FORMS
ADRIAN CLINGHER, ANDREAS MALMENDIER, BRANDON WILLIAMS
Nagoya Mathematical Journal, Volume 260

Article
Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Forum of Mathematics, Sigma, Volume 13

Article
RIGID INNER FORMS OVER GLOBAL FUNCTION FIELDS
Peter Emil Dillery
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 6

Article
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2
Emanuele Dotto
Forum of Mathematics, Sigma, Volume 13

Article
Bounds on the Pythagoras number and indecomposables in biquadratic fields
Magdaléna Tinková
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

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Discontinuous groups and automorphic forms (11Fxx)

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Article
Hybrid subconvexity for Maass form symmetric-square L-functions
Olga Balkanova, Dmitry Frolenkov
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
$\Omega$-results for exponential sums related to Maass cusp forms for $\mathrm{SL}_3(\mathbb Z)$
JESSE JÄÄSAARI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Conditional lower bounds on the distribution of central values: The case of modular forms
Didier Lesesvre, Ade Irma Suriajaya
Canadian Journal of Mathematics, First View

Article
VORONOI COMPLEXES IN HIGHER DIMENSIONS, COHOMOLOGY OF $GL_N(\mathbb{Z} )$ FOR $N\geqslant 8$ AND THE TRIVIALITY OF $K_8(\mathbb{Z} )$
Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers, Jacques Martinet
Journal of the Institute of Mathematics of Jussieu, First View

Article
On quantum modular forms of non-zero weights
Sandro Bettin, Sary Drappeau
Compositio Mathematica, Volume 161, Issue 11

Article
NON-SEMI-STABLE LOCI IN HECKE STACKS AND FARGUES’ CONJECTURE
Ildar Gaisin, Naoki Imai
Journal of the Institute of Mathematics of Jussieu, First View

Article
Higher power sums of Fourier coefficients of symmetric square L-functions
Jinzhi Feng
Proceedings of the Edinburgh Mathematical Society, First View

Article
The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)
Edmund Karasiewicz, Gordan Savin
Forum of Mathematics, Sigma, Volume 13

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Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

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Article
COHOMOLOGY OF THE BASIC UNRAMIFIED PEL UNITARY RAPOPORT-ZINK SPACE OF SIGNATURE $(1,n-1)$
Joseph Muller
Journal of the Institute of Mathematics of Jussieu, First View

Article
Likely intersections
Sebastian Eterović, Thomas Scanlon
Forum of Mathematics, Sigma, Volume 13

Article
GENERALISED MAZUR’S GROWTH NUMBER CONJECTURE
DEBANJANA KUNDU, ANTONIO LEI
Bulletin of the Australian Mathematical Society, First View

Article
An asymptotic formula for Tate–Shafarevich groups of CM elliptic curves at supersingular primes
Katharina Müller
Canadian Mathematical Bulletin, First View

Article
NON-SEMI-STABLE LOCI IN HECKE STACKS AND FARGUES’ CONJECTURE
Ildar Gaisin, Naoki Imai
Journal of the Institute of Mathematics of Jussieu, First View

Article
A classification of $\mathbb {Q}$-linear maps from $\overline {\mathbb {Q}}^\times /\overline {\mathbb {Q}}^\times _{\mathrm {tors}}$ to $\mathbb {R}$
Charles L. Samuels
Canadian Mathematical Bulletin, First View

Article
ON INTEGRAL LOCAL SHIMURA VARIETIES
Georgios Pappas, Michael Rapoport
Journal of the Institute of Mathematics of Jussieu, First View

Article
On the weak Harder–Narasimhan stratification on $B_{\mathrm{dR}}^+$-affine Grassmannian
Miaofen Chen, Jilong Tong
Compositio Mathematica, Volume 161, Issue 10

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Geometry of numbers (11Hxx)

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Article
VORONOI COMPLEXES IN HIGHER DIMENSIONS, COHOMOLOGY OF $GL_N(\mathbb{Z} )$ FOR $N\geqslant 8$ AND THE TRIVIALITY OF $K_8(\mathbb{Z} )$
Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers, Jacques Martinet
Journal of the Institute of Mathematics of Jussieu, First View

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, First View

Article
Linearly exponential checking is enough for the lonely runner conjecture and some of its variants
Romanos Diogenes Malikiosis, Francisco Santos, Matthias Schymura
Forum of Mathematics, Sigma, Volume 13

Article
Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Forum of Mathematics, Sigma, Volume 13

Article
Finite groups of symplectic birational transformations of IHS manifolds of $\mathit {OG10}$ type
Lisa Marquand, Stevell Muller
Forum of Mathematics, Sigma, Volume 13

Article
Squarefree values of polynomial discriminants II
Manjul Bhargava, Arul Shankar, Xiaoheng Wang
Forum of Mathematics, Pi, Volume 13

Article
On elements of prescribed norm in maximal orders of a quaternion algebra
Eyal Z. Goren, Jonathan R. Love
Canadian Journal of Mathematics, Volume 77, Issue 6

Article
Asymptotic distribution for pairs of linear and quadratic forms at integral vectors
JIYOUNG HAN, SEONHEE LIM, KEIVAN MALLAHI-KARAI
Ergodic Theory and Dynamical Systems, Volume 45, Issue 1

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Diophantine approximation, transcendental number theory (11Jxx)

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Article
Disintegration results for fractal measures and applications to Diophantine approximation
SIMON BAKER
Ergodic Theory and Dynamical Systems, First View

Article
Dual p-adic Diophantine approximation on manifolds
Mumtaz Hussain, Johannes Schleischitz, Benjamin Ward
Proceedings of the Edinburgh Mathematical Society, First View

Article
ON THE LARGEST PRIME DIVISOR OF n! + 1
LI LAI
Bulletin of the Australian Mathematical Society, First View

Article
The structure of Lonely Runner spectra
VIKRAM GIRI, NOAH KRAVITZ
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, First View

Article
Linearly exponential checking is enough for the lonely runner conjecture and some of its variants
Romanos Diogenes Malikiosis, Francisco Santos, Matthias Schymura
Forum of Mathematics, Sigma, Volume 13

Article
HODGE CYCLES AND QUADRATIC RELATIONS BETWEEN HOLOMORPHIC PERIODS ON CM ABELIAN VARIETIES
Ziyang Gao, Emmanuel Ullmo
Journal of the Institute of Mathematics of Jussieu, First View

Article
A new class of α-Farey maps and an application to normal numbers
Karma Dajani, Cornelis Kraaikamp, Hitoshi Nakada, Rie Natsui
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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Probabilistic theory: distribution modulo $1$; metric theory of algorithms (11Kxx)

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Article
Disintegration results for fractal measures and applications to Diophantine approximation
SIMON BAKER
Ergodic Theory and Dynamical Systems, First View

Article
A threshold for Poisson behavior of non-stationary product measures
MICHAEL HOCHMAN, NICOLÒ PAVIATO
Ergodic Theory and Dynamical Systems, First View

Article
On quantum modular forms of non-zero weights
Sandro Bettin, Sary Drappeau
Compositio Mathematica, Volume 161, Issue 11

Article
The structure of Lonely Runner spectra
VIKRAM GIRI, NOAH KRAVITZ
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
A new class of α-Farey maps and an application to normal numbers
Karma Dajani, Cornelis Kraaikamp, Hitoshi Nakada, Rie Natsui
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Asymptotic behavior for the sum of partial quotients in continued fraction expansions
Xiao Chen, Junjie Li, Lei Shang, Xin Zeng
Canadian Mathematical Bulletin, First View

Article
Equidistribution in the complex plane and self-similar measures
Wenxia Li, Zhiqiang Wang, Jiayi Xu, Jiuzhou Zhao
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
METRICAL PROPERTIES OF CONTINUED FRACTION AND LÜROTH SERIES EXPANSIONS
ADAM BROWN-SARRE
Bulletin of the Australian Mathematical Society, Volume 112, Issue 3

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Exponential sums and character sums (11Lxx)

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Article
$\Omega$-results for exponential sums related to Maass cusp forms for $\mathrm{SL}_3(\mathbb Z)$
JESSE JÄÄSAARI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
SUMS OF KLOOSTERMAN SUMS OVER SQUARE-FREE AND SMOOTH INTEGERS
XUANCHENG SHAO, IGOR E. SHPARLINSKI, LAURENCE P. WIJAYA
Bulletin of the Australian Mathematical Society, First View

Article
Cancellation in sums over special sequences on $\mathrm {GL}_m$ and their applications
Qiang Ma, Rui Zhang
Canadian Journal of Mathematics, First View

Article
On a theorem of Mattila in the finite p-adic setting
Boqing Xue, Thang Pham, Quang-Hung Le, Quang-Ham Le, Duy-Phuong Nguyen
Canadian Mathematical Bulletin, First View

Article
FONCTIONS ADDITIVES EN BASE DE CANTOR LE LONG DES NOMBRES PREMIERS
Guy Barat, Bruno Martin, Christian Mauduit, Joël Rivat
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 5

Article
Shifted moments of quadratic Dirichlet L-functions
Peng Gao, Liangyi Zhao
Canadian Mathematical Bulletin, Volume 68, Issue 4

Article
ON SOME EFFECTIVE RESULTS INVOLVING ZEROS OF THE RIEMANN ZETA FUNCTION
NICOL LEONG
Bulletin of the Australian Mathematical Society, Volume 111, Issue 3

Article
BINARY AND TERNARY CONGRUENCES INVOLVING INTERVALS AND SETS MODULO A PRIME
MOUBARIZ Z. GARAEV, JULIO C. PARDO, IGOR E. SHPARLINSKI
Bulletin of the Australian Mathematical Society, Volume 112, Issue 2

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Zeta and $L$-functions: analytic theory (11Mxx)

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Article
Hybrid subconvexity for Maass form symmetric-square L-functions
Olga Balkanova, Dmitry Frolenkov
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Conditional lower bounds on the distribution of central values: The case of modular forms
Didier Lesesvre, Ade Irma Suriajaya
Canadian Journal of Mathematics, First View

Article
Inequalities for the sequences with unified form
Li-Mei Dou, Zhen-Yu Gao, Larry X.W. Wang
Canadian Journal of Mathematics, First View

Article
On the Hilbert space derived from the Weil distribution
Masatoshi Suzuki
Canadian Journal of Mathematics, First View

Article
Inequality arising from the iterated Laguerre operator for various partitions
Li-Mei Dou, Hao Tang, Larry Wang
Proceedings of the Edinburgh Mathematical Society, First View

Article
Explicit spectral gap for Hecke congruence covers of arithmetic Schottky surfaces
Louis Soares
Glasgow Mathematical Journal, First View

Article
A note on twisted moments of Dirichlet $\boldsymbol{L}$-functions
Julio Andrade, Joseph Macmillan
Glasgow Mathematical Journal, First View

Article
On moments of L-functions over Dirichlet characters
Avery Bainbridge, Rizwanur Khan, Ze Sen Tang
Canadian Mathematical Bulletin, First View

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Multiplicative number theory (11Nxx)

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Article
On averages of completely multiplicative functions over co-prime integer pairs
Biao Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Distribution of integers with digit restrictions via Markov chains
VICENTE SAAVEDRA-ARAYA
Ergodic Theory and Dynamical Systems, First View

Article
SUMS OF KLOOSTERMAN SUMS OVER SQUARE-FREE AND SMOOTH INTEGERS
XUANCHENG SHAO, IGOR E. SHPARLINSKI, LAURENCE P. WIJAYA
Bulletin of the Australian Mathematical Society, First View

Article
Oscillation results for the summatory functions of fake $\mu $’s
Greg Martin, Chi Hoi Yip
Canadian Journal of Mathematics, First View

Article
Mean values of arithmetic functions and application to sums of powers
RÉGIS DE LA BRETÈCHE, GÉRALD TENENBAUM
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 1

Article
Smooth numbers in arithmetic progressions to large moduli
Alexandru Pascadi
Compositio Mathematica, Volume 161, Issue 8

Article
Elliptic curves and spin
PETER KOYMANS, PETER VANG UTTENTHAL
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 3

Article
IMPROVED UPPER BOUND ON BRUN’S CONSTANT UNDER GRH
LACHLAN DUNN
Bulletin of the Australian Mathematical Society, First View

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Additive number theory; partitions (11Pxx)

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Article
The finite forms of MacMahon’s q-series
Ernest X. W. Xia
Proceedings of the Edinburgh Mathematical Society, First View

Article
Totally positive elements with m partitions exist in almost all real quadratic fields
Mikuláš Zindulka
Proceedings of the Edinburgh Mathematical Society, First View

Article
Inequalities for the sequences with unified form
Li-Mei Dou, Zhen-Yu Gao, Larry X.W. Wang
Canadian Journal of Mathematics, First View

Article
ON ADDITIVE COMPLEMENTS IN THE COMPLEMENT OF A SET OF NATURAL NUMBERS
BHUWANESH RAO PATIL, MOHAN
Bulletin of the Australian Mathematical Society, First View

Article
Inequality arising from the iterated Laguerre operator for various partitions
Li-Mei Dou, Hao Tang, Larry Wang
Proceedings of the Edinburgh Mathematical Society, First View

Article
THE NUMBER OF PARTS IN A RANDOM t-REGULAR PARTITION
TAPAS BHOWMIK, WEI-LUN TSAI
Bulletin of the Australian Mathematical Society, First View

Article
On the existence of reflecting n-queens configurations
Tantan Dai, Tom Kelly
Forum of Mathematics, Sigma, Volume 13

Article
2-Elongated plane partitions and powers of 7: the localization method applied to a genus 1 congruence family
Koustav Banerjee, Nicolas Smoot
Canadian Journal of Mathematics, First View

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Algebraic number theory: global fields (11Rxx)

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Article
NOTES ON GENERALISED INTEGRAL POLYNOMIAL PELL EQUATIONS
NGUYEN XUAN THO
Bulletin of the Australian Mathematical Society, First View

Article
NONCOMMUTATIVE IWASAWA THEORY OF ABELIAN VARIETIES OVER GLOBAL FUNCTION FIELDS
LI-TONG DENG, YUKAKO KEZUKA, YONG-XIONG LI, MENG FAI LIM
Journal of the Australian Mathematical Society, First View

Article
GENERALISED MAZUR’S GROWTH NUMBER CONJECTURE
DEBANJANA KUNDU, ANTONIO LEI
Bulletin of the Australian Mathematical Society, First View

Article
Totally positive elements with m partitions exist in almost all real quadratic fields
Mikuláš Zindulka
Proceedings of the Edinburgh Mathematical Society, First View

Article
ON THE DESCENT CONJECTURE FOR RATIONAL POINTS AND ZERO-CYCLES
Nguyen Manh Linh
Journal of the Institute of Mathematics of Jussieu, First View

Article
An asymptotic formula for Tate–Shafarevich groups of CM elliptic curves at supersingular primes
Katharina Müller
Canadian Mathematical Bulletin, First View

Article
NON-DIOPHANTINE SETS IN RINGS OF FUNCTIONS
NATALIA GARCIA-FRITZ, HECTOR PASTEN, THANASES PHEIDAS
The Journal of Symbolic Logic, First View

Article
A classification of $\mathbb {Q}$-linear maps from $\overline {\mathbb {Q}}^\times /\overline {\mathbb {Q}}^\times _{\mathrm {tors}}$ to $\mathbb {R}$
Charles L. Samuels
Canadian Mathematical Bulletin, First View

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Algebraic number theory: local and $p$-adic fields (11Sxx)

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Article
Locally analytic vectors and decompletion in mixed characteristic
Gal Porat
Forum of Mathematics, Sigma, Volume 13

Article
AVERAGING FUNCTORS IN FARGUES’ PROGRAM FOR $\mathrm {GL}_n$
Johannes Anschütz, Arthur-César Le Bras
Journal of the Institute of Mathematics of Jussieu, First View

Article
Motivic versions of mass formulas by Krasner, Serre and Bhargava
Takehiko Yasuda
Forum of Mathematics, Sigma, Volume 13

Article
Compatibility of the Fargues–Scholze and Gan–Takeda local Langlands
Linus Hamann
Compositio Mathematica, Volume 161, Issue 9

Article
Characterising local fields of positive characteristic by Galois theory and the Brauer group
Philip Dittmann
Compositio Mathematica, Volume 161, Issue 8

Article
RIGID INNER FORMS OVER GLOBAL FUNCTION FIELDS
Peter Emil Dillery
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 6

Article
Class groups and Selmer groups in special families
Debanjana Kundu, Abhishek
Canadian Mathematical Bulletin, Volume 68, Issue 4

Article
The p-adic limits of class numbers in ${\mathbb{Z}}_p$-towers
JUN UEKI, HYUGA YOSHIZAKI
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

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Finite fields and commutative rings (number-theoretic aspects) (11Txx)

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Article
Equidistribution for nilsequences along spheres over finite fields
WENBO SUN
Ergodic Theory and Dynamical Systems, First View

Article
A NOTE ON SOME QUADRATICS AND CUBICS OVER FINITE FIELDS
EILEEN X. PAN
Bulletin of the Australian Mathematical Society, First View

Article
A note on transverse sets and bilinear varieties
LUKA MILIĆEVIĆ
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Revisiting sums and products in countable and finite fields
IOANNIS KOUSEK
Ergodic Theory and Dynamical Systems, First View

Article
A note on twisted moments of Dirichlet $\boldsymbol{L}$-functions
Julio Andrade, Joseph Macmillan
Glasgow Mathematical Journal, First View

Article
The Eigenvalue Method in coding theory
Aida Abiad, Loes Peters, Alberto Ravagnani
Canadian Journal of Mathematics, First View

Article
ON THE PRIMITIVITY OF THE TRINOMIAL $x^{n}+ax^{k}+b$ OVER $\mathbb {F}_{q}$
SOUFYANE BOUGUEBRINE, RACHID BOUMAHDI
Bulletin of the Australian Mathematical Society, First View

Article
Moments of random multiplicative functions over function fields
MAXIMILIAN C. E. HOFMANN, ANNEMILY HOGANSON, SIDDARTH MENON, WILLIAM VERREAULT, ASIF ZAMAN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 3

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Connections with logic (11Uxx)

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NON-DIOPHANTINE SETS IN RINGS OF FUNCTIONS
NATALIA GARCIA-FRITZ, HECTOR PASTEN, THANASES PHEIDAS
The Journal of Symbolic Logic, First View

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DISTAL EXPANSIONS OF PRESBURGER ARITHMETIC BY A SPARSE PREDICATE
MERVYN TONG
The Journal of Symbolic Logic, First View

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Hilbert’s 10th problem via Mordell curves
Somnath Jha, Debanjana Kundu, Dipramit Majumdar
Canadian Mathematical Bulletin, Volume 68, Issue 3

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THE SHORT EXACT SEQUENCE IN DEFINABLE GALOIS COHOMOLOGY
DAVID MERETZKY
The Journal of Symbolic Logic, First View

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A TOPOLOGICAL APPROACH TO UNDEFINABILITY IN ALGEBRAIC EXTENSIONS OF $\mathbb {Q}$
KIRSTEN EISENTRÄGER, RUSSELL MILLER, CALEB SPRINGER, LINDA WESTRICK
Bulletin of Symbolic Logic, Volume 29, Issue 4

Article
Decidability of the class of all the rings $\mathbb {Z}/m\mathbb {Z}$: A problem of Ax
Jamshid Derakhshan, Angus Macintyre
Forum of Mathematics, Sigma, Volume 11

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REMARKS ON HILBERT’S TENTH PROBLEM AND THE IWASAWA THEORY OF ELLIPTIC CURVES
ANWESH RAY
Bulletin of the Australian Mathematical Society, Volume 107, Issue 3

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DETERMINACY OF SCHMIDT’S GAME AND OTHER INTERSECTION GAMES
LOGAN CRONE, LIOR FISHMAN, STEPHEN JACKSON
The Journal of Symbolic Logic, Volume 88, Issue 1

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Computational number theory (11Yxx)

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VORONOI COMPLEXES IN HIGHER DIMENSIONS, COHOMOLOGY OF $GL_N(\mathbb{Z} )$ FOR $N\geqslant 8$ AND THE TRIVIALITY OF $K_8(\mathbb{Z} )$
Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers, Jacques Martinet
Journal of the Institute of Mathematics of Jussieu, First View

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Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Forum of Mathematics, Sigma, Volume 13

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IMPROVED UPPER BOUND ON BRUN’S CONSTANT UNDER GRH
LACHLAN DUNN
Bulletin of the Australian Mathematical Society, First View

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ON ESWARATHASAN–LEVINE AND BOYD’S CONJECTURES FOR HARMONIC NUMBERS
LEONARDO CAROFIGLIO, GIACOMO CHERUBINI, ALESSANDRO GAMBINI
Bulletin of the Australian Mathematical Society, First View

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ON SOME EFFECTIVE RESULTS INVOLVING ZEROS OF THE RIEMANN ZETA FUNCTION
NICOL LEONG
Bulletin of the Australian Mathematical Society, Volume 111, Issue 3

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ON GALOIS GROUPS OF POWER COMPOSITIONAL NONIC POLYNOMIALS
CHAD AWTREY, FRANK PATANE, BRIAN TOONE
Bulletin of the Australian Mathematical Society, Volume 112, Issue 3

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PARITY BIAS IN FUNDAMENTAL UNITS OF REAL QUADRATIC FIELDS
FLORIAN BREUER, CAMERON SHAW-CARMODY
Bulletin of the Australian Mathematical Society, Volume 112, Issue 1

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ON THE BINARY SEQUENCE $(1,1,0,1,0^3,1,0^7,1,0^{15},\ldots )$
GRAHAM H. NORTON
Bulletin of the Australian Mathematical Society, Volume 111, Issue 2

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Miscellaneous applications of number theory (11Zxx)

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ARITHMETIC-GEOMETRIC MEAN SEQUENCES OVER FINITE FIELDS $\mathbb {F}_q$, WHERE $q\equiv 5$ (mod 8)
NATÁLIA BÁTOROVÁ, STEVAN GAJOVIĆ
Bulletin of the Australian Mathematical Society, Volume 112, Issue 3

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ON THE DISTRIBUTION OF IWASAWA INVARIANTS ASSOCIATED TO MULTIGRAPHS
CÉDRIC DION, ANTONIO LEI, ANWESH RAY, DANIEL VALLIÈRES
Nagoya Mathematical Journal, Volume 253

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On the general dyadic grids on ${\mathbb {R}}^d$
Theresa C. Anderson, Bingyang Hu
Canadian Journal of Mathematics, Volume 75, Issue 4

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Fractal projections with an application in number theory
HAN YU
Ergodic Theory and Dynamical Systems, Volume 43, Issue 5

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Cohomological Approach to Class Field Theory in Arithmetic Topology
Tomoki Mihara
Canadian Journal of Mathematics, Volume 71, Issue 4

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CENTRAL LIMIT THEOREM FOR PLANCK-SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS
Igor Wigman, Nadav Yesha
Mathematika, Volume 65, Issue 3

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MSC 2010: Number theory

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Number theory (11-XX)

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Elementary number theory (11Axx)

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Sequences and sets (11Bxx)

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Polynomials and matrices (11Cxx)

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Diophantine equations (11Dxx)

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Forms and linear algebraic groups (11Exx)

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Discontinuous groups and automorphic forms (11Fxx)

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Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

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Geometry of numbers (11Hxx)

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Diophantine approximation, transcendental number theory (11Jxx)

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Probabilistic theory: distribution modulo $1$; metric theory of algorithms (11Kxx)

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Exponential sums and character sums (11Lxx)

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Zeta and $L$-functions: analytic theory (11Mxx)

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Multiplicative number theory (11Nxx)

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Additive number theory; partitions (11Pxx)