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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
A DETERMINANT CONGRUENCE CONJECTURED BY SUN
YUTONG ZHANG, YAORAN YANG
Bulletin of the Australian Mathematical Society, First View

Article
UPPER BOUNDS FOR INFINITARY HARMONIC NUMBERS AND INFINITARY HARMONIOUS TUPLES
ELCHIN HASANALIZADE
Bulletin of the Australian Mathematical Society, First View

Article
A TOPOLOGY FOR ENGEL EXPANSIONS: EVALUATION AND DIGIT CODING MAPS
MIN WOONG AHN
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

Article
USING CONTINUED FRACTIONS WITH PRESCRIBED PERIOD FOR UNIVERSAL QUADRATIC FORMS
VERONIKA MENŠÍKOVÁ, HELENA MUCHOVÁ
Bulletin of the Australian Mathematical Society, First View

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, Volume 46, Issue 7

Article
p-ADIC VALUATION OF $\sigma _k(n)$
JUN-JIA ZHAO
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

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Sequences and sets (11Bxx)

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Article
The smallest denominator not contained in a unit fraction decomposition of 1 with fixed length
WOUTER van DOORN, QUANYU TANG
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
PROOFS OF LUPU’S CONJECTURES FOR MULTIPLE ZETA VALUES AND MULTIPLE t-VALUES
WENZHONG LEI, JINMIN YU, SHAOFANG HONG
Bulletin of the Australian Mathematical Society, First View

Article
Spectral algorithms in higher-order Fourier analysis
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Forum of Mathematics, Sigma, Volume 14

Article
New constructions and bounds for nonabelian Sidon sets with applications to Turán-type problems
John Byrne, Michael Tait
Canadian Journal of Mathematics, First View

Article
A NOTE ON FINITE MULTISETS WITH COINCIDING REPRESENTATION FUNCTIONS
ZHENHUA QU
Bulletin of the Australian Mathematical Society, First View

Article
INTERSECTIONS OF SUMSETS IN ADDITIVE NUMBER THEORY
MELVYN B. NATHANSON
Bulletin of the Australian Mathematical Society, First View

Article
GAPS BETWEEN HEXAGONAL AND SQUARE LATTICES
SIDDHARTH IYER
Bulletin of the Australian Mathematical Society, First View

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

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Polynomials and matrices (11Cxx)

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Article
A DETERMINANT CONGRUENCE CONJECTURED BY SUN
YUTONG ZHANG, YAORAN YANG
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
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, Volume 46, Issue 7

Article
POLYNOMIAL DENSITIES AND HEILBRONN’S CRITERION
ALEXIS HIBBLER, KEVIN J. MCGOWN, ENRIQUE TREVIÑO
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

Article
NOTES ON GENERALISED INTEGRAL POLYNOMIAL PELL EQUATIONS
NGUYEN XUAN THO
Bulletin of the Australian Mathematical Society, Volume 114, Issue 1

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

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Diophantine equations (11Dxx)

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Article
The smallest denominator not contained in a unit fraction decomposition of 1 with fixed length
WOUTER van DOORN, QUANYU TANG
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
COUNTING POLYNOMIAL-TYPE EXCEPTIONAL UNITS ON ALGEBRAIC VARIETIES OVER NUMBER FIELDS
CHEN LIN, KAIHAN TANG
Bulletin of the Australian Mathematical Society, First View

Article
Counting primitive integral solutions to spherical generalized Fermat equations
Santiago Arango-Piñeros
Canadian Mathematical Bulletin, First View

Article
Cooper–Hirschhorn type identities for three or more squares. III
Dazhao Tang
Proceedings of the Edinburgh Mathematical Society, First View

Article
LINKS BETWEEN THE SOLVABILITY OF MATRIX AND SCALAR DIOPHANTINE EQUATIONS
PRIYARANJAN MALLICK, DEBASISHA MISHRA
Bulletin of the Australian Mathematical Society, First View

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, Volume 181, Issue 1

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, Volume 114, Issue 1

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Forms and linear algebraic groups (11Exx)

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Article
Cooper–Hirschhorn type identities for three or more squares. III
Dazhao Tang
Proceedings of the Edinburgh Mathematical Society, First View

Article
USING CONTINUED FRACTIONS WITH PRESCRIBED PERIOD FOR UNIVERSAL QUADRATIC FORMS
VERONIKA MENŠÍKOVÁ, HELENA MUCHOVÁ
Bulletin of the Australian Mathematical Society, First View

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

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Discontinuous groups and automorphic forms (11Fxx)

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Article
Singularities of Steinberg deformation rings
Daniel Funck, Jack Shotton
Forum of Mathematics, Sigma, Volume 14

Article
On the quantitative simultaneous sign changes of Fourier coefficients attached to Hecke–Maass forms over certain quadratic forms
Guodong Hua
Canadian Mathematical Bulletin, First View

Article
SPECTRAL MOMENT FORMULAE FOR ${GL}(3)\times {GL}(2)\ {L}$-FUNCTIONS II: THE EISENSTEIN CASE
Chung-Hang Kwan
Journal of the Institute of Mathematics of Jussieu, First View

Article
Co-rank $1$ Arithmetic Siegel–Weil IV: Analytic local-to-global
Ryan Chen
Forum of Mathematics, Sigma, Volume 14

Article
Framed configuration spaces and exotic spheres
Manuel Krannich, Alexander Kupers, Fadi Mezher
Forum of Mathematics, Sigma, Volume 14

Article
Cusps and boundaries of connected fundamental domains for $\Gamma _0(N)$
Zhaohu Nie
Canadian Mathematical Bulletin, First View

Article
ON THE ZEROS OF CERTAIN LINEAR COMBINATIONS OF POINCARÉ CUSP FORMS
DIVYANSHU KALA, EKATA SAHA
Bulletin of the Australian Mathematical Society, First View

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

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Arithmetic algebraic geometry (Diophantine geometry) (11Gxx)

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Article
Co-rank $1$ Arithmetic Siegel–Weil IV: Analytic local-to-global
Ryan Chen
Forum of Mathematics, Sigma, Volume 14

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

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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
SUBCONVEX $L^p$-SETS, WEYL’S INEQUALITY AND EQUIDISTRIBUTION
Trevor D. Wooley
Journal of the Institute of Mathematics of Jussieu, First View

Article
Transcendence for Pisot morphic words over an algebraic base
PAVOL KEBIS, FLORIAN LUCA, JOEL OUAKNINE, ANDREW SCOONES, JAMES WORRELL
Ergodic Theory and Dynamical Systems, First View

Article
LIOUVILLE NUMBER GROUPS: STRUCTURE, CARDINALITY AND STRONG GENERATORS
SIDNEY A. MORRIS
Bulletin of the Australian Mathematical Society, First View

Article
Algebraic independence of values of Weierstrass elliptic and zeta functions
Senthil Kumar K
Proceedings of the Edinburgh Mathematical Society, First View

Article
Small differences between cubic and rational numbers
Artūras Dubickas
Glasgow Mathematical Journal, First View

Article
A NOTE ON THE ALGEBRAIC INDEPENDENCE OF LIOUVILLE NUMBERS
LUIZ GUSTAVO DALPIZOL
Bulletin of the Australian Mathematical Society, First View

Article
Counting rational points close to p-adic integers and applications in Diophantine approximation
Benjamin Ward
Glasgow Mathematical Journal, First View

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

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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, Volume 46, Issue 7

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, Volume 120, Issue 3

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
SUBCONVEX $L^p$-SETS, WEYL’S INEQUALITY AND EQUIDISTRIBUTION
Trevor D. Wooley
Journal of the Institute of Mathematics of Jussieu, First View

Article
Distributions associated with small quadratic non-residues and their partitions
Debmalya Basak, Bruce Berndt, Alexandru Zaharescu
Canadian Journal of Mathematics, First View

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

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

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Article
Iwasawa theory for branched $\mathbb{Z}_{p}$-towers of finite graphs and Ihara zeta and L-functions
RUSIRU GAMBHEERA, DANIEL VALLIÈRES
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
PROOFS OF LUPU’S CONJECTURES FOR MULTIPLE ZETA VALUES AND MULTIPLE t-VALUES
WENZHONG LEI, JINMIN YU, SHAOFANG HONG
Bulletin of the Australian Mathematical Society, First View

Article
EXTREME VALUES OF DERIVATIVES OF THE DEDEKIND ZETA FUNCTION OF A CYCLOTOMIC FIELD
ZHONGHUA LI, YUTONG SONG, QIYU YANG, SHENGBO ZHAO
Journal of the Australian Mathematical Society, First View

Article
Co-rank $1$ Arithmetic Siegel–Weil IV: Analytic local-to-global
Ryan Chen
Forum of Mathematics, Sigma, Volume 14

Article
TOPOLOGICAL AND DYNAMICAL ASPECTS OF SOME SPECTRAL INVARIANTS OF CONTACT MANIFOLDS WITH A CIRCLE ACTION
Michel Rumin
Journal of the Institute of Mathematics of Jussieu, First View

Article
Explicit extreme values of the argument of the Riemann zeta-function
SHŌTA INOUE, HIROTAKA KOBAYASHI, YUICHIRO TOMA
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
On higher order real zeros of Dedekind zeta functions
SANOLI GUN, DHANANJAYA SAHU
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 181, Issue 1

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

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Multiplicative number theory (11Nxx)

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Article
On the quantitative simultaneous sign changes of Fourier coefficients attached to Hecke–Maass forms over certain quadratic forms
Guodong Hua
Canadian Mathematical Bulletin, First View

Article
EXTREME VALUES OF DERIVATIVES OF THE DEDEKIND ZETA FUNCTION OF A CYCLOTOMIC FIELD
ZHONGHUA LI, YUTONG SONG, QIYU YANG, SHENGBO ZHAO
Journal of the Australian Mathematical Society, First View

Article
SOME DISJOINTNESS RESULTS ON THE DISTRIBUTION OF ORBITS ALONG $\Omega (n)$
QIREN DENG, BIAO WANG
Bulletin of the Australian Mathematical Society, First View

Article
Distributions associated with small quadratic non-residues and their partitions
Debmalya Basak, Bruce Berndt, Alexandru Zaharescu
Canadian Journal of Mathematics, First View

Article
GAPS BETWEEN HEXAGONAL AND SQUARE LATTICES
SIDDHARTH IYER
Bulletin of the Australian Mathematical Society, First View

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

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Additive number theory; partitions (11Pxx)

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Article
SUBCONVEX $L^p$-SETS, WEYL’S INEQUALITY AND EQUIDISTRIBUTION
Trevor D. Wooley
Journal of the Institute of Mathematics of Jussieu, First View

Article
FURTHER ANALOGUES OF ANDREWS’ SPT-FUNCTION IDENTITY
RISHABH SARMA
Bulletin of the Australian Mathematical Society, First View

Article
Distributions associated with small quadratic non-residues and their partitions
Debmalya Basak, Bruce Berndt, Alexandru Zaharescu
Canadian Journal of Mathematics, First View

Article
Cooper–Hirschhorn type identities for three or more squares. III
Dazhao Tang
Proceedings of the Edinburgh Mathematical Society, First View

Article
Strict log-concavity of k-coloured partitions
Kathrin Bringmann, Ben Kane, Anubhab Pahari, Larry Rolen
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
INTERSECTIONS OF SUMSETS IN ADDITIVE NUMBER THEORY
MELVYN B. NATHANSON
Bulletin of the Australian Mathematical Society, First View

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, Volume 35, Issue 3

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Algebraic number theory: global fields (11Rxx)

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Article
Iwasawa theory for branched $\mathbb{Z}_{p}$-towers of finite graphs and Ihara zeta and L-functions
RUSIRU GAMBHEERA, DANIEL VALLIÈRES
Mathematical Proceedings of the Cambridge Philosophical Society, First View

Article
ON THE MONOGENICITY AND GALOIS GROUPS OF $\boldsymbol {x^{2p}+ax^p+b^p}$
JOSHUA HARRINGTON, LENNY JONES
Bulletin of the Australian Mathematical Society, First View

Article
Small differences between cubic and rational numbers
Artūras Dubickas
Glasgow Mathematical Journal, First View

Article
COUNTING POLYNOMIAL-TYPE EXCEPTIONAL UNITS ON ALGEBRAIC VARIETIES OVER NUMBER FIELDS
CHEN LIN, KAIHAN TANG
Bulletin of the Australian Mathematical Society, First View

Article
INTEGRALITY OF AVERAGES OF ROOTS OF UNITY AND PERFECT ISOMETRIES
CHATCHAWAN PANRAKSA, PORNRAT RUENGROT
Bulletin of the Australian Mathematical Society, First View

Article
IWASAWA THEORY AND THE REPRESENTATIONS OF FINITE GROUPS
ANWESH RAY
Bulletin of the Australian Mathematical Society, First View

Article
USING CONTINUED FRACTIONS WITH PRESCRIBED PERIOD FOR UNIVERSAL QUADRATIC FORMS
VERONIKA MENŠÍKOVÁ, HELENA MUCHOVÁ
Bulletin of the Australian Mathematical Society, First View

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

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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, Volume 114, Issue 1

Article
Moduli stacks of Galois representations and the p-adic local Langlands correspondence for ${\mathrm{GL}}_2({{{\mathbb{Q}_{p}}}})$
Christian Johansson, James Newton, Carl Wang-Erickson
Compositio Mathematica, Volume 162, Issue 2

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

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

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Article
A DETERMINANT CONGRUENCE CONJECTURED BY SUN
YUTONG ZHANG, YAORAN YANG
Bulletin of the Australian Mathematical Society, First View

Article
Translates of completely normal elements and the Morgan–Mullen conjecture
Theodoulos Garefalakis, Giorgos Kapetanakis
Canadian Mathematical Bulletin, First View

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, Volume 113, Issue 3

Article
A note on transverse sets and bilinear varieties
LUKA MILIĆEVIĆ
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 180, Issue 3

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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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THE INTEGRALITY OF ALGEBRAIC WITT VECTORS OVER IMAGINARY QUADRATIC FIELDS IS DECIDABLE
YASUHIRO ISHITSUKA, TAKEO URAMOTO
Journal of the Australian Mathematical Society, Volume 121, Issue 1

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)