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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
SIMULTANEOUS NIVEN NUMBERS IN ARITHMETIC PROGRESSIONS FOR POWER-RELATED BASES
SCOTT DUKE KOMINERS
Bulletin of the Australian Mathematical Society, First View

Article
Feasibility of primality in bounded arithmetic
Raheleh Jalali, Ondřej Ježil
Forum of Mathematics, Sigma, Volume 14

Article
On finitely many base q expansions
SIMON BAKER, GEORGE BENDER
Ergodic Theory and Dynamical Systems, First View

Article
p-ADIC VALUATION OF $\sigma _k(n)$
JUN-JIA ZHAO
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, Volume 69, Issue 2

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, Volume 180, Issue 2

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

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Sequences and sets (11Bxx)

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Article
SIMULTANEOUS NIVEN NUMBERS IN ARITHMETIC PROGRESSIONS FOR POWER-RELATED BASES
SCOTT DUKE KOMINERS
Bulletin of the Australian Mathematical Society, First View

Article
Discrete sumsets with one large summand
John Griesmer
Forum of Mathematics, Sigma, Volume 14

Article
On products of sets of natural density one
SANDRO BETTIN, MATTEO BORDIGNON, ALESSANDRO FAZZARI
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Quadratic maps between non-abelian groups
ASGAR JAMNESHAN, ANDREAS THOM
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
SUMS OF TERMS OF RECURRENCE SEQUENCES AND S-UNITS IN THE SOLUTION SETS OF NORM FORM EQUATIONS
DARSANA N, SUDHANSU SEKHAR ROUT
Bulletin of the Australian Mathematical Society, First View

Article
Incidence geometry and polynomial expansion over finite fields
Nuno Arala, Sam Chow
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
GALOIS GROUPS OF APÉRY-LIKE SERIES MODULO PRIMES
XAVIER CARUSO, FLORIAN FÜRNSINN, DANIEL VARGAS-MONTOYA, WADIM ZUDILIN
Bulletin of the Australian Mathematical Society, First View

Article
PARTITIONS OF NATURAL NUMBERS AND THEIR ORDERED REPRESENTATION FUNCTIONS
XIAO-HUI YAN, SHUANG-SHUANG LI, YU-MEI LI
Bulletin of the Australian Mathematical Society, First View

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Polynomials and matrices (11Cxx)

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Article
Feasibility of primality in bounded arithmetic
Raheleh Jalali, Ondřej Ježil
Forum of Mathematics, Sigma, Volume 14

Article
A new bound on cofactors of sparse polynomials
Ido Nahshon, Amir Shpilka
Forum of Mathematics, Sigma, Volume 14

Article
Distribution of polynomial orbits in Toeplitz systems
KOSMA KASPRZAK
Ergodic Theory and Dynamical Systems, First View

Article
POLYNOMIAL DENSITIES AND HEILBRONN’S CRITERION
ALEXIS HIBBLER, KEVIN J. MCGOWN, ENRIQUE TREVIÑO
Bulletin of the Australian Mathematical Society, First View

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, Volume 113, Issue 2

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Diophantine equations (11Dxx)

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Article
A note on the equal sum and product problem with a fixed coefficient
Maciej Zakarczemny
Canadian Mathematical Bulletin, First View

Article
Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
KAVITA DHANDA, ALAN HAYNES, SILMI PRASALA
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
SUMS OF TERMS OF RECURRENCE SEQUENCES AND S-UNITS IN THE SOLUTION SETS OF NORM FORM EQUATIONS
DARSANA N, SUDHANSU SEKHAR ROUT
Bulletin of the Australian Mathematical Society, First View

Article
THE FERMAT–MERSENNE PROBLEM ON PYTHAGOREAN TRIPLES
HENRY (MAYA) ROBERT THACKERAY
Bulletin of the Australian Mathematical Society, First View

Article
Average sizes of mixed character sums
Victor Wang, Max Xu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
p-ADIC VALUATION OF $\sigma _k(n)$
JUN-JIA ZHAO
Bulletin of the Australian Mathematical Society, First View

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

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Forms and linear algebraic groups (11Exx)

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Article
On odd powers of nonnegative polynomials that are not sums of squares
Grigoriy Blekherman, Khazhgali Kozhasov, Bruce Reznick
Forum of Mathematics, Sigma, Volume 14

Article
NONCONGRUENT NUMBERS OF THE FORM $2pq$ WITH $pq\equiv 5\ (\textbf {mod } 8)$
QIANQIAN CAI
Bulletin of the Australian Mathematical Society, First View

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, Volume 113, Issue 2

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

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Discontinuous groups and automorphic forms (11Fxx)

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Article
Shifted convolution sum for the coefficients of symmetric square L-function
You Jun Wang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On local Galois deformation rings: generalised reductive groups
Vytautas Paškūnas, Julian Quast
Forum of Mathematics, Pi, Volume 14

Article
Proportion of Atkin–Lehner sign patterns and Hecke eigenvalue equidistribution
ERICK ROSS, ALEXANDRE VAN LIDTH, MARTHA ROSE WOLF, HUI XUE
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Multiplicity one for analytic L-functions and applications
DAVID W. FARMER, AMEYA PITALE, NATHAN C. RYAN, RALF SCHMIDT
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Selmer stability in families of congruent Galois representations
ANWESH RAY
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 3

Article
Strongly tempered hyperspherical Hamiltonian spaces
Zhengyu Mao, Chen Wan, Lei Zhang
Forum of Mathematics, Sigma, Volume 14

Article
A generalized $\mathrm{PGL}(2)$ Petersson/Bruggeman-Kuznetsov formula for analytic applications
Yueke Hu, Ian Petrow, Matthew P. Young
Forum of Mathematics, Sigma, Volume 14

Article
Twisted periods of modular forms
Tianyu Ni, Hui Xue
Nagoya Mathematical Journal, Volume 261

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Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

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Article
Integral models of Shimura varieties with parahoric level structure, II
Mark Kisin, Georgios Pappas, Rong Zhou
Forum of Mathematics, Pi, Volume 14

Article
Minimal torsion curves in geometric isogeny classes
ABBEY BOURDON, NINA RYALLS, LORI D. WATSON
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
ON THE GROWTH OF TATE–SHAFAREVICH GROUPS OF $\boldsymbol {p}$-SUPERSINGULAR ABELIAN VARIETIES OF $\textbf {GL}_{\textbf {2}}$-TYPE OVER $\boldsymbol {\mathbb {Z}}_{\boldsymbol {p}}$-EXTENSIONS OF NUMBER FIELDS
ERMAN ISIK, ANTONIO LEI
Journal of the Australian Mathematical Society, First View

Article
Tamagawa numbers and positive rank of elliptic curves
EDWINA AYLWARD
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Arboreal Galois groups of postcritically finite quadratic polynomials: The strictly preperiodic case
Robert Benedetto, Dragos Ghioca, Jamie Juul, Thomas Tucker
Canadian Journal of Mathematics, First View

Article
Character sums of division polynomials twisted by multiplicative functions
Subham Bhakta
Canadian Mathematical Bulletin, First View

Article
Depth one part of Tannakian groups of filtrations
Payman Eskandari
Canadian Journal of Mathematics, First View

Article
THE FERMAT–MERSENNE PROBLEM ON PYTHAGOREAN TRIPLES
HENRY (MAYA) ROBERT THACKERAY
Bulletin of the Australian Mathematical Society, First View

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Geometry of numbers (11Hxx)

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Article
A uniform metrical theorem in multiplicative Diophantine approximation
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
Forum of Mathematics, Sigma, Volume 14

Article
Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms
Cédric Pilatte
Forum of Mathematics, Pi, Volume 14

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, Volume 25, Issue 1

Article
Singularity, weighted uniform approximation, intersections and rates
Dmitry Kleinbock, Nikolay Moshchevitin, Jacqueline M. Warren, Barak Weiss
Compositio Mathematica, Volume 161, Issue 11

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, Volume 120, Issue 1

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

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Diophantine approximation, transcendental number theory (11Jxx)

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Article
A uniform metrical theorem in multiplicative Diophantine approximation
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
Forum of Mathematics, Sigma, Volume 14

Article
Disintegration results for fractal measures and applications to Diophantine approximation
SIMON BAKER
Ergodic Theory and Dynamical Systems, Volume 46, Issue 4

Article
Dual p-adic Diophantine approximation on manifolds
Mumtaz Hussain, Johannes Schleischitz, Benjamin Ward
Proceedings of the Edinburgh Mathematical Society, Volume 69, Issue 2

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

Article
Singularity, weighted uniform approximation, intersections and rates
Dmitry Kleinbock, Nikolay Moshchevitin, Jacqueline M. Warren, Barak Weiss
Compositio Mathematica, Volume 161, Issue 11

Article
The structure of Lonely Runner spectra
VIKRAM GIRI, NOAH KRAVITZ
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 2

Article
QUANTITATIVE GROWTH OF LINEAR RECURRENCES
ARMAND NOUBISSIE
Journal of the Australian Mathematical Society, Volume 120, Issue 1

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

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

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Article
Large prime factors of well-distributed sequences
Abhishek Bharadwaj, Brad Rodgers
Canadian Mathematical Bulletin, First View

Article
On finitely many base q expansions
SIMON BAKER, GEORGE BENDER
Ergodic Theory and Dynamical Systems, First View

Article
A uniform metrical theorem in multiplicative Diophantine approximation
Michael Björklund, Reynold Fregoli, Alexander Gorodnik
Forum of Mathematics, Sigma, Volume 14

Article
MULTIFRACTAL ANALYSIS OF THE CONVERGENCE EXPONENTS FOR THE DIGITS IN d-DECAYING GAUSS-LIKE DYNAMICAL SYSTEMS
KUNKUN SONG, MENGJIE ZHANG
Journal of the Australian Mathematical Society, First View

Article
Generalizations of Erdős–Kac theorem with applications
Sourabhashis Das, Wentang Kuo, Yu-Ru Liu
Canadian Journal of Mathematics, First View

Article
Average sizes of mixed character sums
Victor Wang, Max Xu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Dichotomy for the Hausdorff dimension of non-ergodic directions on translation surfaces
YUMING WEI
Ergodic Theory and Dynamical Systems, Volume 46, Issue 5

Article
How negative can $\boldsymbol{\sum}_{\textbf{n}\le \textbf{x}}\frac{\textbf{f}(\textbf{n})}{\textbf{n}}$ be?
BRYCE KERR, OLEKSIY KLURMAN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 3

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Exponential sums and character sums (11Lxx)

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Article
Character sums of division polynomials twisted by multiplicative functions
Subham Bhakta
Canadian Mathematical Bulletin, First View

Article
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
Alexandru Pascadi
Forum of Mathematics, Pi, Volume 14

Article
Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms
Cédric Pilatte
Forum of Mathematics, Pi, Volume 14

Article
Average sizes of mixed character sums
Victor Wang, Max Xu
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
How negative can $\boldsymbol{\sum}_{\textbf{n}\le \textbf{x}}\frac{\textbf{f}(\textbf{n})}{\textbf{n}}$ be?
BRYCE KERR, OLEKSIY KLURMAN
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 3

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, Volume 180, Issue 3

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

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

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Article
On higher order real zeros of Dedekind zeta functions
SANOLI GUN, DHANANJAYA SAHU
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Voronoï summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen-type identities
Atul Dixit, Shashank Chorge
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms
Cédric Pilatte
Forum of Mathematics, Pi, Volume 14

Article
The shifted fourth moment of modular form L-functions in the weight aspect
Olga Balkanova, Dmitry Frolenkov
Canadian Journal of Mathematics, First View

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

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Multiplicative number theory (11Nxx)

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Article
Large prime factors of well-distributed sequences
Abhishek Bharadwaj, Brad Rodgers
Canadian Mathematical Bulletin, First View

Article
Rough permutations with a fixed set of a given size
Guoyou Qian
Combinatorics, Probability and Computing, First View

Article
Character sums of division polynomials twisted by multiplicative functions
Subham Bhakta
Canadian Mathematical Bulletin, First View

Article
Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
KAVITA DHANDA, ALAN HAYNES, SILMI PRASALA
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$
Alexandru Pascadi
Forum of Mathematics, Pi, Volume 14

Article
Some asymptotic formulas related to the Möbius function of higher order
Biao Wang
Canadian Mathematical Bulletin, First View

Article
Generalizations of Erdős–Kac theorem with applications
Sourabhashis Das, Wentang Kuo, Yu-Ru Liu
Canadian Journal of Mathematics, First View

Article
NEW EXPLICIT AND ASYMPTOTIC RESULTS IN SIEVE THEORY
DANIEL R. JOHNSTON
Bulletin of the Australian Mathematical Society, Volume 113, Issue 2

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Additive number theory; partitions (11Pxx)

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Article
Hyperbinary partitions and q-deformed rationals
Thomas McConville, James Propp, Bruce Sagan
Forum of Mathematics, Sigma, Volume 14

Article
Graphical sequences and plane trees
Michal Bassan, Serte Donderwinkel, Brett Kolesnik
Combinatorics, Probability and Computing, First View

Article
Proof of a conjecture of Garvan and Jennings-Shaffer on nonnegativity of MC1(m, n) and MC5(m, n)
Bing He, Shuming Liu
Canadian Journal of Mathematics, First View

Article
NEW EXPLICIT AND ASYMPTOTIC RESULTS IN SIEVE THEORY
DANIEL R. JOHNSTON
Bulletin of the Australian Mathematical Society, Volume 113, Issue 2

Article
COMBINATORIAL PROOFS OF CERTAIN RESULTS OF CHEN AND ZOU ON TWO-COLOUR PARTITIONS
SUPARNO GHOSHAL, ARIJIT JANA, HENRIK RESSLER
Bulletin of the Australian Mathematical Society, First View

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, Volume 69, Issue 2

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

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Algebraic number theory: global fields (11Rxx)

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Article
ON THE DISCRIMINANT AND INDEX OF A CERTAIN CLASS OF POLYNOMIALS
RUPAM BARMAN, ANUJ NARODE, VINAY WAGH
Bulletin of the Australian Mathematical Society, First View

Article
THE INTEGRALITY OF ALGEBRAIC WITT VECTORS OVER IMAGINARY QUADRATIC FIELDS IS DECIDABLE
YASUHIRO ISHITSUKA, TAKEO URAMOTO
Journal of the Australian Mathematical Society, First View

Article
ON THE GROWTH OF TATE–SHAFAREVICH GROUPS OF $\boldsymbol {p}$-SUPERSINGULAR ABELIAN VARIETIES OF $\textbf {GL}_{\textbf {2}}$-TYPE OVER $\boldsymbol {\mathbb {Z}}_{\boldsymbol {p}}$-EXTENSIONS OF NUMBER FIELDS
ERMAN ISIK, ANTONIO LEI
Journal of the Australian Mathematical Society, First View

Article
On the 3-rank of the class group of quadratic fields
Shi-Chao Chen, Chuan-Chuan Wu
Canadian Mathematical Bulletin, First View

Article
On higher order real zeros of Dedekind zeta functions
SANOLI GUN, DHANANJAYA SAHU
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
Selmer stability in families of congruent Galois representations
ANWESH RAY
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 3

Article
A characterization of transfer Krull orders in Dedekind domains with Torsion class group
Balint Rago
Canadian Mathematical Bulletin, First View

Article
POLYNOMIAL DENSITIES AND HEILBRONN’S CRITERION
ALEXIS HIBBLER, KEVIN J. MCGOWN, ENRIQUE TREVIÑO
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
GALOIS GROUPS OF APÉRY-LIKE SERIES MODULO PRIMES
XAVIER CARUSO, FLORIAN FÜRNSINN, DANIEL VARGAS-MONTOYA, WADIM ZUDILIN
Bulletin of the Australian Mathematical Society, First View

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, Volume 25, Issue 1

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

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

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Article
Feasibility of primality in bounded arithmetic
Raheleh Jalali, Ondřej Ježil
Forum of Mathematics, Sigma, Volume 14

Article
Incidence geometry and polynomial expansion over finite fields
Nuno Arala, Sam Chow
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Ranges of polynomials control degree ranks of Green and Tao over finite prime fields
Thomas Karam
Proceedings of the Edinburgh Mathematical Society, First View

Article
Equidistribution for nilsequences along spheres over finite fields
WENBO SUN
Ergodic Theory and Dynamical Systems, Volume 46, Issue 5

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, Volume 180, Issue 3

Article
Revisiting sums and products in countable and finite fields
IOANNIS KOUSEK
Ergodic Theory and Dynamical Systems, Volume 46, Issue 2

Article
A note on twisted moments of Dirichlet $\boldsymbol{L}$-functions
Julio Andrade, Joseph Macmillan
Glasgow Mathematical Journal, Volume 68, Issue 2

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Connections with logic (11Uxx)

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

Article
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

Article
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

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Computational number theory (11Yxx)

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Article
THE INTEGRALITY OF ALGEBRAIC WITT VECTORS OVER IMAGINARY QUADRATIC FIELDS IS DECIDABLE
YASUHIRO ISHITSUKA, TAKEO URAMOTO
Journal of the Australian Mathematical Society, First View

Article
Unconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms
Cédric Pilatte
Forum of Mathematics, Pi, Volume 14

Article
NEW EXPLICIT AND ASYMPTOTIC RESULTS IN SIEVE THEORY
DANIEL R. JOHNSTON
Bulletin of the Australian Mathematical Society, Volume 113, Issue 2

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, Volume 25, Issue 1

Article
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, Volume 113, Issue 2

Article
ON ESWARATHASAN–LEVINE AND BOYD’S CONJECTURES FOR HARMONIC NUMBERS
LEONARDO CAROFIGLIO, GIACOMO CHERUBINI, ALESSANDRO GAMBINI
Bulletin of the Australian Mathematical Society, Volume 113, Issue 1

Article
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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Miscellaneous applications of number theory (11Zxx)

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Article
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

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)