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

Article
RUNS IN PAPERFOLDING SEQUENCES
JEFFREY SHALLIT
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

Article
Weighted sieves with switching
KAISA MATOMÄKI, SEBASTIAN ZUNIGA–ALTERMAN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

Article
DIFFRACTION OF THE PRIMES AND OTHER SETS OF ZERO DENSITY
ADAM HUMENIUK, CHRISTOPHER RAMSEY, NICOLAE STRUNGARU
Journal of the Australian Mathematical Society, Volume 119, Issue 2

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Sequences and sets (11Bxx)

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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

Article
An explicit economical additive basis
Vishesh Jain, Huy Tuan Pham, Mehtaab Sawhney, Dmitrii Zakharov
Combinatorics, Probability and Computing, First View

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

Article
Pointwise convergence of bilinear polynomial averages over the primes
BEN KRAUSE, HAMED MOUSAVI, TERENCE TAO, JONI TERÄVÄINEN
Ergodic Theory and Dynamical Systems, Volume 45, Issue 12

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

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Polynomials and matrices (11Cxx)

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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

Article
A new formula for the determinant and bounds on its tensor and Waring ranks
Robin Houston, Adam P. Goucher, Nathaniel Johnston
Combinatorics, Probability and Computing, Volume 33, Issue 6

Article
CHARACTERISTIC POLYNOMIALS OF THE MATRICES WITH $(\,j,k)$-ENTRY $q^{\,j\pm k}+t$
HAN WANG, ZHI-WEI SUN
Bulletin of the Australian Mathematical Society, Volume 111, Issue 2

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Diophantine equations (11Dxx)

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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

Article
IMPROVED LOWER BOUNDS FOR STRONG n-CONJECTURES
RUPERT HÖLZL, SÖREN KLEINE, FRANK STEPHAN
Journal of the Australian Mathematical Society, Volume 119, Issue 1

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Forms and linear algebraic groups (11Exx)

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

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

Article
COVERING INTEGERS BY $x^2 + dy^2$
Ben Green, Kannan Soundararajan
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 3

Article
EXISTENCE OF K-MULTIMAGIC SQUARES AND MAGIC SQUARES OF kth POWERS WITH DISTINCT ENTRIES
DANIEL FLORES
Bulletin of the Australian Mathematical Society, First View

Article
p-Adic quotient sets: Linear recurrence sequences with reducible characteristic polynomials
Deepa Antony, Rupam Barman
Canadian Mathematical Bulletin, Volume 68, Issue 1

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Discontinuous groups and automorphic forms (11Fxx)

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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

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

Article
Subspaces spanned by eigenforms with nonvanishing twisted central L-values
June Kayath, Connor Lane, Ben Neifeld, Tianyu Ni, Hui Xue
Canadian Journal of Mathematics, First View

Article
Rigid meromorphic cocycles for orthogonal groups
Lennart Gehrmann, Henri Darmon, Michael Lipnowski
Forum of Mathematics, Sigma, Volume 13

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

Article
Klingen Eisenstein congruences and modularity
Tobias Berger, Jim Brown, Krzysztof Klosin
Canadian Journal of Mathematics, First View

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Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

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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
Rigid meromorphic cocycles for orthogonal groups
Lennart Gehrmann, Henri Darmon, Michael Lipnowski
Forum of Mathematics, Sigma, Volume 13

Article
Anisotropic area-preserving flows for plane curves and entropy inequalities
Yunlong Yang, Yanlong Zhang
Canadian Journal of Mathematics, First View

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
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
On (2,2)-decomposable genus 4 Jacobians
Nils Bruin, Avinash Kulkarni
Canadian Journal of Mathematics, First View

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Geometry of numbers (11Hxx)

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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, First View

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

Article
Equidistribution of rational subspaces and their shapes
MENNY AKA, ANDREA MUSSO, ANDREAS WIESER
Ergodic Theory and Dynamical Systems, Volume 44, Issue 8

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Diophantine approximation, transcendental number theory (11Jxx)

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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

Article
METRICAL PROPERTIES OF CONTINUED FRACTION AND LÜROTH SERIES EXPANSIONS
ADAM BROWN-SARRE
Bulletin of the Australian Mathematical Society, First View

Article
Diophantine approximations with restrained denominators. Balance condition on decay and growth rates
Volodymyr Pavlenkov, Evgeniy Zorin
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
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, First View

Article
Ergodicity and algebraicity of the fast and slow triangle maps
THOMAS GARRITY, JACOB LEHMANN DUKE
Ergodic Theory and Dynamical Systems, 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

Article
On Dirichlet non-improvable numbers and shrinking target problems
QIAN XIAO
Ergodic Theory and Dynamical Systems, Volume 45, Issue 11

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Exponential sums and character sums (11Lxx)

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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, First View

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

Article
Semisimple random walks on the torus
WEIKUN HE, NICOLAS DE SAXCÉ
Ergodic Theory and Dynamical Systems, Volume 45, Issue 10

Article
Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
Canadian Journal of Mathematics, First View

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

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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

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

Article
Limit theorems for a class of unbounded observables with an application to ‘Sampling the Lindelöf hypothesis’
KASUN FERNANDO, TANJA I. SCHINDLER
Ergodic Theory and Dynamical Systems, First View

Article
Counting cyclic extensions with local conditions and applications to L-values in the critical strip
Peter Jaehyun Cho, Gyeongwon Oh
Canadian Journal of Mathematics, First View

Article
AN ASYMPTOTIC ESTIMATE FOR THE CHARACTERISTIC AND NUMBER OF FIXED POINTS OF THE RIEMANN ZETA FUNCTION
BAO QIN LI, JÖRN STEUDING, YUTA SUZUKI
Nagoya Mathematical Journal, First View

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Multiplicative number theory (11Nxx)

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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, First View

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

Article
Weighted sieves with switching
KAISA MATOMÄKI, SEBASTIAN ZUNIGA–ALTERMAN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2

Article
POSITIVE DENSITY FOR CONSECUTIVE RUNS OF SUMS OF TWO SQUARES
Noam Kimmel, Vivian Kuperberg
Journal of the Institute of Mathematics of Jussieu, Volume 24, Issue 5

Article
The Chowla conjecture and Landau–Siegel zeroes
MIKKO JASKARI, STELIOS SACHPAZIS
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 1

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Additive number theory; partitions (11Pxx)

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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

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
Mean values of arithmetic functions and application to sums of powers
RÉGIS DE LA BRETÈCHE, GÉRALD TENENBAUM
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Hook length inequalities for t-regular partitions in the t-aspect
Gurinder Singh, Rupam Barman
Canadian Mathematical Bulletin, First View

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Algebraic number theory: global fields (11Rxx)

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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
AN EFFECTIVE VERSION OF THE PRIMITIVE ELEMENT THEOREM
SUDIPA DAS, R. THANGADURAI, A. TRIPATHI
Bulletin of the Australian Mathematical Society, First View

Article
Rigid meromorphic cocycles for orthogonal groups
Lennart Gehrmann, Henri Darmon, Michael Lipnowski
Forum of Mathematics, Sigma, Volume 13

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
The average size of 3-torsion in class groups of 2-extensions
Robert Lemke Oliver, Jiuya Wang, Melanie Matchett Wood
Forum of Mathematics, Pi, Volume 13

Article
Linear relations of four conjugates of an algebraic number
Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas
Canadian Mathematical Bulletin, 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

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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, First View

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
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

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

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Moments, Exponential Sums, and Monodromy Groups
Nicholas M. Katz, Pham Huu Tiep
Forum of Mathematics, Sigma, Volume 13

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Iterating additive polynomials over finite fields
Lucas Reis
Proceedings of the Edinburgh Mathematical Society, Volume 68, Issue 3

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Connections with logic (11Uxx)

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

Article
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

Article
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

Article
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

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

Article
A DEDEKIND-STYLE AXIOMATIZATION AND THE CORRESPONDING UNIVERSAL PROPERTY OF AN ORDINAL NUMBER SYSTEM
ZURAB JANELIDZE, INEKE VAN DER BERG
The Journal of Symbolic Logic, Volume 87, Issue 4

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Computational number theory (11Yxx)

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

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

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

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
ON GALOIS GROUPS OF POWER COMPOSITIONAL NONIC POLYNOMIALS
CHAD AWTREY, FRANK PATANE, BRIAN TOONE
Bulletin of the Australian Mathematical Society, First View

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

Article
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

Article
Maximizing weighted sums of binomial coefficients using generalized continued fractions
S.P. Glasby, G.R. Paseman
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

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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, First View

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

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

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

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

Article
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)