Journal of Number Theory

Papers
(The TQCC of Journal of Number Theory is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
An alternative Q-form of the cyclotomic double shuffle Lie algebra30
Editorial Board29
Continuous lower bounds for moments of the mixed product of twisted L-functions17
Subconvexity of twisted Shintani zeta functions15
On some local properties of sequences of big Galois representations15
An asymptotic formula involving the triple divisor function14
Algebraic properties of the values of newform Dedekind sums12
Editorial Board11
Sturm-type bounds for modular forms over function fields11
Deformations of overconvergent isocrystals on the projective line11
The total distance for algebraic integers having all their conjugates in a sector10
Editorial Board9
Li coefficients as norms of functions in a model space9
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]8
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups8
Periods of Hodge cycles and special values of the Gauss' hypergeometric function8
Eventual tightness of projective dimension growth bounds: Quadratic in the degree8
Cohomology of congruence subgroups of SL8
On the space of slow growing weak Jacobi forms8
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)8
Sets arising as minimal additive complements in the integers7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup7
Kurokawa-Mizumoto congruence and differential operators on automorphic forms7
Algebraic independence of the Carlitz period and its hyperderivatives7
Note on a theorem of Birch–Erdős and m-ary partitions7
The Bose-Chowla argument for Sidon sets6
Editorial Board6
Extended modular functions and definite form class groups6
Greedy Sidon sets for linear forms6
Archimedean Bump-Friedberg integrals on 6
Regular triangular forms of rank exceeding 36
Torsions in cohomology of SL2<6
An inequality related to the sieve of Eratosthenes6
One-level density of the family of twists of an elliptic curve over function fields6
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields6
On a twisted Jacquet module of GL(2n) over a finite field6
Simultaneous insolvability of exponential congruences6
Hook length biases for self-conjugate partitions and partitions with distinct odd parts5
Hecke eigenspaces for the projective line5
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms5
On newforms and Saito-Kurokawa lifts5
p-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and p-adic interpolation5
Growth of torsion groups of elliptic curves over number fields without rationally defined CM5
Class numbers of binary quadratic polynomials5
A conjecture of Flach and Morin5
Two properties of symmetric cube transfers of modular forms5
Heights of rational points on Mordell curves5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms5
A note on Bass' conjecture5
Counting pairs of polynomials whose product is a cube5
A Kronecker congruence relation for modular functions of higher level and genus5
Sumset problem on dilated sets of integers5
Editorial Board5
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets5
Finding Galois splitting models to compute local invariants5
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture5
Lower bounds for the number of subrings in Z5
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality5
The number of prime factors of integers with dense divisors4
Effectivity for existence of rational points is undecidable4
Exceptional zero formulas for anticyclotomic p-adic L-functions4
Siegel theta series for quadratic forms of signature (m − 1,1)4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices4
Mass formulas and Eisenstein congruences in higher rank4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 34
Classification of all Galois subcovers of the Skabelund maximal curves4
Invariant part of class groups and distribution of relative class group4
Quadratic forms representing large integers only4
Odd, spoof perfect factorizations4
Torsion points of elliptic curves over multi-quadratic number fields4
A reduction algorithm for Hilbert modular groups4
Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces4
On the number of points with bounded dynamical canonical height4
Uniform boundedness on rational maps with automorphisms4
Arithmetic properties encoded in the Galois module structure of K4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields4
On a sum involving small arithmetic function and the integral part function3
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect3
Numerical estimates on the Landau-Siegel zero and other related quantities3
Isolations of the sum of two squares from its proper subforms3
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]3
On the solutions of the Diophantine equation Fn3
Crystals of relative displays and Calabi-Yau threefolds3
An explicit log-free zero density estimate for the Riemann zeta-function3
Higher Mertens constants for almost primes3
Euler's factorial series, Hardy integral, and continued fractions3
Meromorphic quasi-modular forms and their L-functions3
On bounded basis of integers3
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials3
Small doubling in cyclic groups3
Klingen vectors for depth zero supercuspidals of GSp(4)3
On the height of some generators of Galois extensions with big Galois group3
Counting ideals in ray classes3
A polytopal generalization of Apollonian packings and Descartes' theorem3
Mean square values of Dirichlet L-functions associated to fixed order characters3
Run-length function of the beta-expansion of a fixed real number3
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function3
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function3
Variance of point-counts for families of cubic curves over F<3
The number of preimages of iterates of ϕ and σ3
Almost primes between all squares3
Integer factorization as subset-sum problem3
On the distribution of angles between increasingly many short lattice vectors3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]3
Bol's identity for skew-holomorphic Jacobi forms3
On p-adic Siegel Eisenstein series3
Special values of spectral zeta functions of graphs and Dirichlet L-functions3
Hecke orbits and the Mordell-Lang conjecture in distinguished categories3
Fields of dimension one algebraic over a global or local field need not be of type C13
Corrigendum to “On Gauss factorials and their connection to the cyclotomic λ-invariants of imaginary quadratic fields” [J. Number Theory 246 (2023) 279–293]3
A universal lower bound for certain quadratic integrals of automorphic L–functions3
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group 3
Torsion of rational elliptic curves over the 3
Densities of integer sets represented by quadratic forms3
An asymptotic expansion of Selberg's central limit theorem near the critical line3
Portraits of quadratic rational maps with a small critical cycle3
Numerical investigation of lower order biases in moment expansions of one parameter families of elliptic curves3
L-values for conductor 323
Modular invariant of rank 1 Drinfeld modules and class field generation3
Editorial Board3
Sidon sets for linear forms3
Numbers of the form k + f(k)3
The Sato-Tate conjecture and Nagao's conjecture3
On irrationals with Lagrange value exactly 33
Fields of definition of K3 surfaces with complex multiplication3
Underapproximation by Egyptian fractions3
Bias of root numbers for Hilbert newforms of cubic level3
M-functions and screw functions: Applications to Goldbach's problem and zeros of the Riemann zeta-function3
Algebraic-integer valued polynomials3
Poissonian correlations of higher orders3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures3
New bounds in R.S. Lehman's estimates for the difference π(3
Good elliptic curves with a specified torsion subgroup3
Higher moments for lattice point discrepancy of convex domains and annuli3
Modularity of elliptic curves over cyclotomic Z2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf2
Constant root number on integer fibres of elliptic surfaces2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables2
Infinitely many zeros of additively twisted L-functions on the critical line2
Nonvanishing of second coefficients of Hecke polynomials2
Ramanujan type congruences for quotients of Klein forms2
Constructions of generalized MSTD sets in higher dimensions2
Diagonal quinary quadratic forms with a strong regularity property2
Functions with integer-valued divided differences2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes2
Algebraicity modulo p of generalized hypergeometric series F2
Universal sums of triangular numbers and squares2
Variants of Kohnen's conjecture for Hermitian modular forms2
Characterization of quadratic ε−CNS polynomials2
Hilbert modular Eisenstein congruences of local origin2
The local-global principle for divisibility in CM elliptic curves2
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture2
Editorial Board2
Double descent in classical groups2
The rational cuspidal divisor class group of X0(N)2
Injectivity of the genus 1 Kudla–Millson lift on locally symmetric spaces2
The rank of new regular quadratic forms2
Multiplicative complements, II.2
Arithmetically equivalent number fields have approximately the same successive minima2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 202
An explicit sub-Weyl bound for ζ(1/2 + it)2
On p-adic modularity in the p-adic Heisenberg algebra2
Parts in k-indivisible partitions always display biases between residue classes2
On the fifth-power moment of Δ(1)(x)2
An effective open image theorem for products of principally polarized abelian varieties2
Polynomial analogue of Erdős' extension of the Romanoff theorem2
Asymptotic equidistribution for partition statistics and topological invariants2
Riemann zeta functions for Krull monoids2
Sparse distribution of lattice points in annular regions2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields2
Replenishing p-adic L-functions and Euler systems at their bad primes2
Large absolute values of cyclotomic polynomials at roots of unity2
Benford's law and random integer decomposition with congruence stopping condition2
Minimal universality criterion sets on the representations of binary quadratic forms2
Herr complex of (φ,τ)-modules2
Congruence relations for r-colored partitions2
Shifted convolution sums motivated by string theory2
The Selberg–Delange method and mean value of arithmetic functions over short intervals2
Selberg's orthogonality conjecture and symmetric power L-functions2
A basis for the space of weakly holomorphic Drinfeld modular forms of level T2
Effective rational approximation on spheres2
Bushnell-Reiner zeta functions over two-dimensional semilocal rings2
Greenberg's conjecture and Iwasawa module of real biquadratic fields I2
Dirichlet, Sierpiński, and Benford2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models2
Hecke theory for SO+(2,n + 2)2
Numerical action for endomorphisms2
Murmurations and Sato–Tate conjectures for high rank zetas of elliptic curves2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups2
An optimal lower bound for the size of the restricted sumsets containing powers2
Consecutive tuples of multiplicatively dependent integers2
On the non-vanishing of Hilbert Poincaré series2
Reciprocity obstruction to strong approximation over p-adic function fields2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank2
Monodromy of elliptic logarithms: Some topological methods and effective results2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case2
Prime isogenous discriminant ideal twins2
The distribution of values of L2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]2
Lie invariant Frobenius lifts2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands2
Goldbach representations with several primes2
Bifurcations of digit frequencies in unique expansions2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem2
Editorial Board2
Systolic length of triangular modular curves2
Unlikely intersections between additive and multiplicative structures2
Asymptotic expansions of the prime counting function2
Diophantine problems related to cyclic cubic and quartic fields2
The Katok-Sarnak formula for higher weights2
Galois theory of quadratic rational functions with periodic critical points2
Finite flat group schemes over Z killed by 192
On the factor rings of Z[2
Editorial Board2
Statistics for 3-isogeny induced Selmer groups of elliptic curves2
On a class of generalized Fermat equations of signature (2,2n,3)2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups2
Realisability of simultaneous density constraints for sets of integers2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces2
Kummer theory for function fields2
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