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 2021-12-01 to 2025-12-01.)
ArticleCitations
Editorial Board28
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields25
Continuous lower bounds for moments of the mixed product of twisted L-functions16
On some local properties of sequences of big Galois representations13
Subconvexity of twisted Shintani zeta functions12
Deformations of overconvergent isocrystals on the projective line11
An asymptotic formula involving the triple divisor function11
Sturm-type bounds for modular forms over function fields10
Sets arising as minimal additive complements in the integers10
Algebraic independence of the Carlitz period and its hyperderivatives10
Li coefficients as norms of functions in a model space10
The total distance for algebraic integers having all their conjugates in a sector10
Editorial Board10
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)9
Periods of Hodge cycles and special values of the Gauss' hypergeometric function9
On the space of slow growing weak Jacobi forms8
Cohomology of congruence subgroups of SL8
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]8
Eventual tightness of projective dimension growth bounds: Quadratic in the degree8
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups8
One-level density of the family of twists of an elliptic curve over function fields7
The Bose-Chowla argument for Sidon sets7
On an extension of the Landau-Gonek formula7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup7
Algebraic properties of the values of newform Dedekind sums7
Covering groups of M22 as regular Galois groups over 7
Kurokawa-Mizumoto congruence and differential operators on automorphic forms7
Editorial Board7
Hook length biases for self-conjugate partitions and partitions with distinct odd parts6
Two properties of symmetric cube transfers of modular forms6
Torsions in cohomology of SL2<6
Sumset problem on dilated sets of integers6
On newforms and Saito-Kurokawa lifts6
An inequality related to the sieve of Eratosthenes6
Heights of rational points on Mordell curves6
Editorial Board6
A conjecture of Flach and Morin6
Hecke eigenspaces for the projective line6
Simultaneous insolvability of exponential congruences6
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms6
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets6
Finding Galois splitting models to compute local invariants5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms5
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture5
Lower bounds for the number of subrings in Z5
Arithmetic properties encoded in the Galois module structure of K5
Siegel theta series for quadratic forms of signature (m − 1,1)5
A note on Bass' conjecture5
On a twisted Jacquet module of GL(2n) over a finite field5
Growth of torsion groups of elliptic curves over number fields without rationally defined CM5
Odd, spoof perfect factorizations5
Counting pairs of polynomials whose product is a cube5
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality5
Greedy Sidon sets for linear forms5
Quadratic forms representing large integers only5
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices5
The number of prime factors of integers with dense divisors5
An asymptotic expansion of Selberg's central limit theorem near the critical line4
Good elliptic curves with a specified torsion subgroup4
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect4
Uniform boundedness on rational maps with automorphisms4
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function4
A reduction algorithm for Hilbert modular groups4
Run-length function of the beta-expansion of a fixed real number4
A polytopal generalization of Apollonian packings and Descartes' theorem4
Higher moments for lattice point discrepancy of convex domains and annuli4
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields4
Torsion points of elliptic curves over multi-quadratic number fields4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 34
Classification of all Galois subcovers of the Skabelund maximal curves4
Isolations of the sum of two squares from its proper subforms4
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]4
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function4
On a sum involving small arithmetic function and the integral part function4
Mass formulas and Eisenstein congruences in higher rank4
On the number of points with bounded dynamical canonical height4
Effectivity for existence of rational points is undecidable4
Portraits of quadratic rational maps with a small critical cycle4
Densities of integer sets represented by quadratic forms4
Editorial Board3
The Sato-Tate conjecture and Nagao's conjecture3
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups3
On the distribution of angles between increasingly many short lattice vectors3
The rational cuspidal divisor class group of X0(N)3
Editorial Board3
Arithmetic intersections of modular geodesics3
Crystals of relative displays and Calabi-Yau threefolds3
A finiteness result for p-adic families of Bianchi modular forms3
On the solutions of the Diophantine equation Fn3
Integer factorization as subset-sum problem3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings3
Small doubling in cyclic groups3
Numerical estimates on the Landau-Siegel zero and other related quantities3
A universal lower bound for certain quadratic integrals of automorphic L–functions3
Euler's factorial series, Hardy integral, and continued fractions3
Special values of spectral zeta functions of graphs and Dirichlet L-functions3
On bounded basis of integers3
Nonvanishing of second coefficients of Hecke polynomials3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]3
Multiplicative complements, II.3
Logarithmic-type and exponential-type hypergeometric functions for function fields3
Numbers of the form k + f(k)3
Fields of definition of K3 surfaces with complex multiplication3
Diophantine problems related to cyclic cubic and quartic fields3
Poissonian correlations of higher orders3
Bias of root numbers for Hilbert newforms of cubic level3
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln3
Modular invariant of rank 1 Drinfeld modules and class field generation3
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
An explicit log-free zero density estimate for the Riemann zeta-function3
Underapproximation by Egyptian fractions3
On p-adic Siegel Eisenstein series3
On the height of some generators of Galois extensions with big Galois group3
Algebraic-integer valued polynomials3
Fields of dimension one algebraic over a global or local field need not be of type C13
Counting ideals in ray classes3
An explicit sub-Weyl bound for ζ(1/2 + it)3
Higher Mertens constants for almost primes3
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models3
Asymptotic equidistribution for partition statistics and topological invariants3
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group 3
Meromorphic quasi-modular forms and their L-functions3
On twisted A-harmonic sums and Carlitz finite zeta values3
Consecutive tuples of multiplicatively dependent integers3
The number of preimages of iterates of ϕ and σ3
A basis for the space of weakly holomorphic Drinfeld modular forms of level T3
On multi-poly-Bernoulli–Carlitz numbers3
L-values for conductor 323
Pairing pythagorean pairs3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures3
Sidon sets for linear forms3
Mean square values of Dirichlet L-functions associated to fixed order characters3
Klingen vectors for depth zero supercuspidals of GSp(4)3
Selberg's orthogonality conjecture and symmetric power L-functions2
Parity of the coefficients of certain eta-quotients, II: The case of even-regular partitions2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms2
Moments of ideal class counting functions2
Editorial Board2
On shuffle-type functional relations of desingularized multiple zeta-functions2
Editorial Board2
Minimal universality criterion sets on the representations of binary quadratic forms2
Reciprocity obstruction to strong approximation over p-adic function fields2
Editorial Board2
Hecke theory for SO+(2,n + 2)2
The distribution of values of L2
On a Ramanujan-type series associated with the Heegner number 1632
An effective open image theorem for products of principally polarized abelian varieties2
Diagonal quinary quadratic forms with a strong regularity property2
On the factor rings of Z[2
Riemann zeta functions for Krull monoids2
Double descent in classical groups2
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 202
Lie invariant Frobenius lifts2
Characterization of quadratic ε−CNS polynomials2
Statistics for 3-isogeny induced Selmer groups of elliptic curves2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes2
Effective estimates for the smallest parts function2
The Katok-Sarnak formula for higher weights2
Maximally elastic quadratic fields2
A conjecture of Merca on nonnegativity of theta series2
Arithmetically equivalent number fields have approximately the same successive minima2
The arithmetic basilica: A quadratic PCF arboreal Galois group2
Global liftings between inner forms of GSp(4)2
Kummer theory for function fields2
The local-global principle for divisibility in CM elliptic curves2
Higher moments of the pair correlation function for Sato-Tate sequences2
Constant root number on integer fibres of elliptic surfaces2
Constructions of generalized MSTD sets in higher dimensions2
The fractional sum of small arithmetic functions2
Editorial Board2
Paramodular forms coming from elliptic curves2
t-Aspect subconvexity for GL(2)×GL(2) L-function2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf2
On the integrality of locally algebraic representations of GL2(D)2
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands2
The rank of new regular quadratic forms2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank2
Large absolute values of cyclotomic polynomials at roots of unity2
On the computation of the endomorphism rings of abelian surfaces2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces2
Universal sums of triangular numbers and squares2
Benford's law and random integer decomposition with congruence stopping condition2
Foreword to David Goss' JNT memorial volume2
Bifurcations of digit frequencies in unique expansions2
Long-range correlations of sequences modulo 12
Sparse distribution of lattice points in annular regions2
Rikuna's generic cyclic polynomial and the monogenity2
Shifted convolution sums motivated by string theory2
Hook length biases in ordinary and t-regular partitions2
Reductions of abelian varieties and K3 surfaces2
On Greenberg's generalized conjecture2
A twisted additive divisor problem2
Divisibility of the multiplicative order modulo monic irreducible polynomials over finite fields2
Unlikely intersections between additive and multiplicative structures2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture2
Jutila's circle method and GL(2
On the fifth-power moment of Δ(1)(x)2
Systolic length of triangular modular curves2
Some remarks on the critical values of Rankin–Selberg L-series2
The Selberg–Delange method and mean value of arithmetic functions over short intervals2
Variations on themes of Sato: A survey2
On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point2
Parts in k-indivisible partitions always display biases between residue classes2
Infinitely many zeros of additively twisted L-functions on the critical line2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups2
Herr complex of (φ,τ)-modules2
Real quadratic fields admitting universal lattices of rank 72
Finite flat group schemes over Z killed by 192
On some applications of GCD sums to arithmetic combinatorics2
Functional equations for Selberg zeta functions with Tate motives2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables2
Functions with integer-valued divided differences2
Effective Erdős–Wintner theorems for digital expansions2
Algebraicity modulo p of generalized hypergeometric series F2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem2
Congruence relations for r-colored partitions2
On a class of generalized Fermat equations of signature (2,2n,3)2
Dirichlet, Sierpiński, and Benford2
On pro-p-extensions of number fields with restricted ramification over intermediate 2
On the zeros of period functions associated to the Eisenstein series for Γ2
A conjecture of Sárközy on quadratic residues2
Global theta lifting and automorphic periods associated to nilpotent orbits2
Effective rational approximation on spheres2
Asymptotic expansions of the prime counting function2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]2
Ramanujan type congruences for quotients of Klein forms2
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