Journal of Number Theory

Papers
(The median citation count of Journal of Number Theory is 0. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
An alternative Q-form of the cyclotomic double shuffle Lie algebra17
Editorial Board14
Continuous lower bounds for moments of the mixed product of twisted L-functions14
On some local properties of sequences of big Galois representations12
Editorial Board11
Subconvexity of twisted Shintani zeta functions11
Li coefficients as norms of functions in a model space9
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)9
Editorial Board9
Periods of Hodge cycles and special values of the Gauss' hypergeometric function9
The total distance for algebraic integers having all their conjugates in a sector9
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups8
Kurokawa-Mizumoto congruence and differential operators on automorphic forms8
On the space of slow growing weak Jacobi forms8
Cohomology of congruence subgroups of SL8
Shifted convolution sum with weighted average: GL(3)×GL(3) setup8
One-level density of the family of twists of an elliptic curve over function fields7
Note on a theorem of Birch–Erdős and m-ary partitions7
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields7
Sets arising as minimal additive complements in the integers7
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]7
Archimedean Bump-Friedberg integrals on 7
Regular triangular forms of rank exceeding 37
The Bose-Chowla argument for Sidon sets6
Torsions in cohomology of SL2<6
Simultaneous insolvability of exponential congruences6
Editorial Board6
Algebraic properties of the values of newform Dedekind sums6
Sturm-type bounds for modular forms over function fields6
Greedy Sidon sets for linear forms6
Two properties of symmetric cube transfers of modular forms6
An asymptotic formula involving the triple divisor function6
Algebraic independence of the Carlitz period and its hyperderivatives6
Deformations of overconvergent isocrystals on the projective line6
An inequality related to the sieve of Eratosthenes6
Heights of rational points on Mordell curves6
Eventual tightness of projective dimension growth bounds: Quadratic in the degree6
Editorial Board5
A conjecture of Flach and Morin5
Comparison of component groups of ℓ-adic and mod ℓ monodromy groups5
Hook length biases for self-conjugate partitions and partitions with distinct odd parts5
Sumset problem on dilated sets of integers5
On newforms and Saito-Kurokawa lifts5
p-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and p-adic interpolation5
Extended modular functions and definite form class groups5
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms5
Hecke eigenspaces for the projective line5
A note on Bass' conjecture5
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality5
Counting pairs of polynomials whose product is a cube4
Uniform boundedness on rational maps with automorphisms4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices4
Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces4
Classification of all Galois subcovers of the Skabelund maximal curves4
A reduction algorithm for Hilbert modular groups4
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect4
A Kronecker congruence relation for modular functions of higher level and genus4
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture4
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets4
Arithmetic properties encoded in the Galois module structure of K4
Mass formulas and Eisenstein congruences in higher rank4
Invariant part of class groups and distribution of relative class group4
Numerical investigation of lower order biases in moment expansions of one parameter families of elliptic curves4
On the number of points with bounded dynamical canonical height4
Finiteness criteria for the solutions of a sequence of decomposable form inequalities4
Class numbers of binary quadratic polynomials4
Combinatorial invariants for certain classes of non-abelian groups4
Quadratic forms representing large integers only4
Growth of torsion groups of elliptic curves over number fields without rationally defined CM4
Finding Galois splitting models to compute local invariants4
Exceptional zero formulas for anticyclotomic p-adic L-functions4
Effectivity for existence of rational points is undecidable4
Torsion points of elliptic curves over multi-quadratic number fields4
Siegel theta series for quadratic forms of signature (m − 1,1)4
The number of prime factors of integers with dense divisors4
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms4
On a twisted Jacquet module of GL(2n) over a finite field4
Euler's factorial series, Hardy integral, and continued fractions3
Underapproximation by Egyptian fractions3
Asymptotic equidistribution for partition statistics and topological invariants3
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials3
A universal lower bound for certain quadratic integrals of automorphic L–functions3
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models3
Klingen vectors for depth zero supercuspidals of GSp(4)3
The number of preimages of iterates of ϕ and σ3
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln3
New bounds in R.S. Lehman's estimates for the difference π(3
The Sato-Tate conjecture and Nagao's conjecture3
Bushnell-Reiner zeta functions over two-dimensional semilocal rings3
On differences of perfect powers and prime powers3
Run-length function of the beta-expansion of a fixed real number3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings3
Torsion of rational elliptic curves over the 3
M-functions and screw functions: Applications to Goldbach's problem and zeros of the Riemann zeta-function3
On irrationals with Lagrange value exactly 33
Mean square values of Dirichlet L-functions associated to fixed order characters3
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function3
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 33
A note on mod-p local-global compatibility via Scholze's functor3
Small doubling in cyclic groups3
A polytopal generalization of Apollonian packings and Descartes' theorem3
Nonvanishing of second coefficients of Hecke polynomials3
Almost primes between all squares3
Integer factorization as subset-sum problem3
Editorial Board3
Poissonian correlations of higher orders3
Crystals of relative displays and Calabi-Yau threefolds3
Galois theory of quadratic rational functions with periodic critical points3
Editorial Board3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures3
The rational cuspidal divisor class group of X0(N)3
On bounded basis of integers3
Sidon sets for linear forms3
Fields of definition of K3 surfaces with complex multiplication3
Isolations of the sum of two squares from its proper subforms3
Modularity of tadpole Nahm sums in ranks 4 and 53
Counting ideals in ray classes3
Densities of integer sets represented by quadratic forms3
Good elliptic curves with a specified torsion subgroup3
A note on hyperelliptic curves with ordinary reduction over 2-adic fields3
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
Bias of root numbers for Hilbert newforms of cubic level3
Algebraic-integer valued polynomials3
On the height of some generators of Galois extensions with big Galois group3
Multiplicative complements, II.3
Numerical estimates on the Landau-Siegel zero and other related quantities3
A basis for the space of weakly holomorphic Drinfeld modular forms of level T3
Meromorphic quasi-modular forms and their L-functions3
On the distribution of angles between increasingly many short lattice vectors3
Hilbert modular Eisenstein congruences of local origin3
Special values of spectral zeta functions of graphs and Dirichlet L-functions3
Bol's identity for skew-holomorphic Jacobi forms3
Numbers of the form k + f(k)3
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]3
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group 3
On the existence of zero-sum subsequences with length not divided by a given number3
Variance of point-counts for families of cubic curves over F<3
On p-adic Siegel Eisenstein series3
On a sum involving small arithmetic function and the integral part function3
Portraits of quadratic rational maps with a small critical cycle3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]3
Dirichlet, Sierpiński, and Benford2
On the fifth-power moment of Δ(1)(x)2
On p-adic modularity in the p-adic Heisenberg algebra2
Asymptotic expansions of the prime counting function2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank2
Statistics for 3-isogeny induced Selmer groups of elliptic curves2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables2
An optimal lower bound for the size of the restricted sumsets containing powers2
Shifted convolution sums motivated by string theory2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms2
Hook length biases in ordinary and t-regular partitions2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields2
Monodromy of elliptic logarithms: Some topological methods and effective results2
Goldbach representations with several primes2
Reciprocity obstruction to strong approximation over p-adic function fields2
Unlikely intersections between additive and multiplicative structures2
Congruence relations for r-colored partitions2
Realisability of simultaneous density constraints for sets of integers2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups2
Diophantine problems related to cyclic cubic and quartic fields2
Ramanujan type congruences for quotients of Klein forms2
On the non-vanishing of Hilbert Poincaré series2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]2
Characterization of quadratic ε−CNS polynomials2
Kummer theory for function fields2
Universal sums of triangular numbers and squares2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point2
The local-global principle for divisibility in CM elliptic curves2
Two dimensional integral representations via branches of the Bruhat-Tits tree2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]2
Greenberg's conjecture and Iwasawa module of real biquadratic fields I2
Hecke theory for SO+(2,n + 2)2
Systolic length of triangular modular curves2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case2
Editorial Board2
Editorial Board2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 202
Singular systems of linear forms over global function fields2
The rank of new regular quadratic forms2
Riemann zeta functions for Krull monoids2
Variants of Kohnen's conjecture for Hermitian modular forms2
Herr complex of (φ,τ)-modules2
Finite flat group schemes over Z killed by 192
Diagonal quinary quadratic forms with a strong regularity property2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces2
Polynomial analogue of Erdős' extension of the Romanoff theorem2
On the solutions of the Diophantine equation Fn2
Modular invariant of rank 1 Drinfeld modules and class field generation2
Sparse distribution of lattice points in annular regions2
Constant root number on integer fibres of elliptic surfaces2
Editorial Board2
Infinitely many zeros of additively twisted L-functions on the critical line2
Minimal universality criterion sets on the representations of binary quadratic forms2
The hyperbolic lattice counting problem in large dimensions2
Injectivity of the genus 1 Kudla–Millson lift on locally symmetric spaces2
Selberg's orthogonality conjecture and symmetric power L-functions2
An effective open image theorem for products of principally polarized abelian varieties2
Arithmetically equivalent number fields have approximately the same successive minima2
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions2
Replenishing p-adic L-functions and Euler systems at their bad primes2
The Selberg–Delange method and mean value of arithmetic functions over short intervals2
Algebraicity modulo p of generalized hypergeometric series F2
Effective rational approximation on spheres2
Parts in k-indivisible partitions always display biases between residue classes2
On a Ramanujan-type series associated with the Heegner number 1632
Numerical action for endomorphisms2
Benford's law and random integer decomposition with congruence stopping condition2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf2
Modular supercuspidal lifts of weight 22
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem2
The distribution of values of L2
Murmurations and Sato–Tate conjectures for high rank zetas of elliptic curves2
Large absolute values of cyclotomic polynomials at roots of unity2
An explicit sub-Weyl bound for ζ(1/2 + it)2
Bifurcations of digit frequencies in unique expansions2
An explicit log-free zero density estimate for the Riemann zeta-function2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)2
On the factor rings of Z[2
On members of Lucas sequences with bounded prime gaps2
Modularity of elliptic curves over cyclotomic Z2
Lie invariant Frobenius lifts2
Editorial Board2
The Furstenberg–Sárközy theorem and asymptotic total ergodicity phenomena in modular rings1
Shifted convolution sums of divisor functions with Fourier coefficients1
Log-concavity of the restricted partition function p1
Galois representations with big image in the general symplectic group GSp1
A general class of Schmidt theorems1
Resolution of Erdős' problems about unimodularity1
A Lehmer-type lower bound for the canonical height on elliptic curves over function fields1
On the number of zeros of L−functions attached to cusp forms of half-integral weight1
Tetragonal modular quotients X01
Abelian varieties with prescribed embedding and full embedding degrees1
Higher moments related to Dedekind zeta functions of non-normal fields1
Cyclotomic symmetric multiple zeta values span the space of cyclotomic multiple zeta values1
Comparing regular and backward continued fractions: Lochs-type theorems and approximation properties1
Editorial Board1
Upper bounds for the lowest first zero in families of cuspidal newforms1
Spectrum of all multiplicative functions with application to powerfull numbers1
On the existence of maximal spanning vectors in L2<1
p-adic Cohomology and Arithmetic Applications: Conference in Banff, 20171
Progress towards a conjecture of S.W. Graham1
Finiteness of analytic cohomology of Lubin-Tate (φ,Γ )-modules1
Arithmetic statistics of families of integer S-polynomials and application to class group torsion1
Explicit estimates for the logarithmic derivative and the reciprocal of the Riemann zeta function1
A note on zero-density approaches for the difference between consecutive primes1
Distribution of cycles in supersingular ℓ-isogeny graphs1
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