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 2021-07-01 to 2025-07-01.)
ArticleCitations
The total distance for algebraic integers having all their conjugates in a sector23
Editorial Board20
Algebraic properties of the values of newform Dedekind sums18
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]16
Continuous lower bounds for moments of the mixed product of twisted L-functions13
Periods of Hodge cycles and special values of the Gauss' hypergeometric function13
On the space of slow growing weak Jacobi forms11
One-level density of the family of twists of an elliptic curve over function fields10
Li coefficients as norms of functions in a model space9
Subconvexity of twisted Shintani zeta functions9
On some local properties of sequences of big Galois representations9
An asymptotic formula involving the triple divisor function8
Sturm-type bounds for modular forms over function fields8
Editorial Board8
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups8
Deformations of overconvergent isocrystals on the projective line8
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields8
Existence of invariant norms in p-adic representations of GL2(F) of large weights8
Cohomology of congruence subgroups of SL7
Sets arising as minimal additive complements in the integers7
The Bose-Chowla argument for Sidon sets7
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup6
Covering groups of M22 as regular Galois groups over Q6
Simultaneous insolvability of exponential congruences6
On newforms and Saito-Kurokawa lifts6
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets6
Kurokawa-Mizumoto congruence and differential operators on automorphic forms6
Editorial Board6
Heights of rational points on Mordell curves6
A note on Bass' conjecture6
Sumset problem on dilated sets of integers6
Algebraic independence of the Carlitz period and its hyperderivatives6
Editorial Board6
An inequality related to the sieve of Eratosthenes6
Hecke eigenspaces for the projective line6
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality6
On an extension of the Landau-Gonek formula5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms5
Classification of all Galois subcovers of the Skabelund maximal curves5
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 35
Odd, spoof perfect factorizations5
A conjecture of Flach and Morin5
Greedy Sidon sets for linear forms5
An inequality for coefficients of the real-rooted polynomials5
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function5
Siegel theta series for quadratic forms of signature (m − 1,1)5
Arithmetic properties encoded in the Galois module structure of K5
Torsions in cohomology of SL2<5
On a twisted Jacquet module of GL(2n) over a finite field5
Finding Galois splitting models to compute local invariants5
Uniform boundedness on rational maps with automorphisms5
Algebraic-integer valued polynomials4
An asymptotic expansion of Selberg's central limit theorem near the critical line4
Good elliptic curves with a specified torsion subgroup4
On a sum involving small arithmetic function and the integral part function4
Run-length function of the beta-expansion of a fixed real number4
On the slopes of the lattice of sections of hermitian line bundles4
The number of prime factors of integers with dense divisors4
Lower bounds for the number of subrings in Z4
Counting pairs of polynomials whose product is a cube4
Quadratic forms representing large integers only4
Growth of torsion groups of elliptic curves over number fields without rationally defined CM4
Skolem's conjecture confirmed for a family of exponential equations, III4
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
Joint universality theorem of Selberg zeta functions for principal congruence subgroups4
Mean square values of Dirichlet L-functions associated to fixed order characters4
A reduction algorithm for Hilbert modular groups4
On the number of points with bounded dynamical canonical height4
Mass formulas and Eisenstein congruences in higher rank4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields4
Densities of integer sets represented by quadratic forms4
Euler's factorial series, Hardy integral, and continued fractions4
Underapproximation by Egyptian fractions4
Sidon sets for linear forms4
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
On Fibonacci partitions4
Torsion points of elliptic curves over multi-quadratic number fields4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices4
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]3
Meromorphic quasi-modular forms and their L-functions3
Congruences relating class numbers of quadratic orders and Zagier's sums3
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
Fields of definition of K3 surfaces with complex multiplication3
Higher Mertens constants for almost primes3
The number of preimages of iterates of ϕ and σ3
Klingen vectors for depth zero supercuspidals of GSp(4)3
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups3
Consecutive tuples of multiplicatively dependent integers3
Arithmetic intersections of modular geodesics3
L-values for conductor 323
Special values of spectral zeta functions of graphs and Dirichlet L-functions3
On p-adic Siegel Eisenstein series3
Crystals of relative displays and Calabi-Yau threefolds3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures3
On the height of some generators of Galois extensions with big Galois group3
An explicit log-free zero density estimate for the Riemann zeta-function3
On the distribution of angles between increasingly many short lattice vectors3
Counting ideals in ray classes3
Integer factorization as subset-sum problem3
Editorial Board3
The rational cuspidal divisor class group of X0(N)3
Logarithmic-type and exponential-type hypergeometric functions for function fields3
Numbers of the form k + f(k)3
Poissonian correlations of higher orders3
Numerical estimates on the Landau-Siegel zero and other related quantities3
Bias of root numbers for Hilbert newforms of cubic level3
On bounded basis of integers3
A universal lower bound for certain quadratic integrals of automorphic L–functions3
Small doubling in cyclic groups3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings3
Fields of dimension one algebraic over a global or local field need not be of type C13
Pairing pythagorean pairs3
Multiplicative complements, II.3
Diophantine problems related to cyclic cubic and quartic fields3
A finiteness result for p-adic families of Bianchi modular forms3
The Hausdorff dimension spectrum of Renyi-like continued fractions3
The Sato-Tate conjecture and Nagao's conjecture3
Editorial Board3
Unlikely intersections between additive and multiplicative structures2
On the solutions of the Diophantine equation Fn2
On the zeros of period functions associated to the Eisenstein series for Γ2
Finite flat group schemes over Z killed by 192
An explicit sub-Weyl bound for ζ(1/2 + it)2
Diagonal quinary quadratic forms with a strong regularity property2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 202
Variations on themes of Sato: A survey2
Foreword to David Goss' JNT memorial volume2
Congruence relations for r-colored partitions2
On shuffle-type functional relations of desingularized multiple zeta-functions2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes2
On quadratic numbers and forms, and Markoff theory2
Parts in k-indivisible partitions always display biases between residue classes2
On a class of generalized Fermat equations of signature (2,2n,3)2
Shifted convolution sums motivated by string theory2
Constant root number on integer fibres of elliptic surfaces2
Polynomial analogue of Erdős' extension of the Romanoff theorem2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms2
The rank of new regular quadratic forms2
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions2
A conjecture of Sárközy on quadratic residues2
Congruences of algebraic p-adic L-functions and the Main Conjecture of Iwasawa Theory2
On the computation of the endomorphism rings of abelian surfaces2
Systolic length of triangular modular curves2
Effective Erdős–Wintner theorems for digital expansions2
Riemann zeta functions for Krull monoids2
Long-range correlations of sequences modulo 12
Rikuna's generic cyclic polynomial and the monogenity2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)2
Hook length biases in ordinary and t-regular partitions2
On multi-poly-Bernoulli–Carlitz numbers2
Arithmetic progressions of Carmichael numbers in a reduced residue class2
Modular invariant of rank 1 Drinfeld modules and class field generation2
Double descent in classical groups2
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln2
Functional equations for Selberg zeta functions with Tate motives2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point2
Editorial Board2
Statistics for 3-isogeny induced Selmer groups of elliptic curves2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands2
Minimal universality criterion sets on the representations of binary quadratic forms2
On some applications of GCD sums to arithmetic combinatorics2
Kummer theory for function fields2
Reciprocity obstruction to strong approximation over p-adic function fields2
Paramodular forms coming from elliptic curves2
Benford's law and random integer decomposition with congruence stopping condition2
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields2
The Selberg–Delange method and mean value of arithmetic functions over short intervals2
Herr complex of (φ,τ)-modules2
Effective rational approximation on spheres2
On the integrality of locally algebraic representations of GL2(D)2
Ramanujan type congruences for quotients of Klein forms2
Universal sums of triangular numbers and squares2
Selberg's orthogonality conjecture and symmetric power L-functions2
Tate–Shafarevich groups in the cyclotomic Z2
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks2
Some identities for multiple alternating zeta values2
Asymptotic expansions of the prime counting function2
Hecke theory for SO+(2,n + 2)2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture2
Bifurcations of digit frequencies in unique expansions2
The distribution relation and inverse function theorem in arithmetic geometry2
The local-global principle for divisibility in CM elliptic curves2
Nonvanishing of second coefficients of Hecke polynomials2
On Greenberg's generalized conjecture2
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models2
The Katok-Sarnak formula for higher weights2
Asymptotic equidistribution for partition statistics and topological invariants2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]2
Constructions of generalized MSTD sets in higher dimensions2
Functions with integer-valued divided differences2
Editorial Board2
On pro-p-extensions of number fields with restricted ramification over intermediate 2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem2
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces2
Lie invariant Frobenius lifts2
Algebraicity modulo p of generalized hypergeometric series F2
The arithmetic basilica: A quadratic PCF arboreal Galois group2
Arithmetically equivalent number fields have approximately the same successive minima2
Sparse distribution of lattice points in annular regions2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case2
Hyperelliptic curves and newform coefficients2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]2
On a Ramanujan-type series associated with the Heegner number 1632
On the fifth-power moment of Δ(1)(x)2
Infinitely many zeros of additively twisted L-functions on the critical line2
Digit expansions of numbers in different bases2
Dirichlet, Sierpiński, and Benford2
The distribution of values of L2
h1 ≠ h1 for Anderson t-motives2
Non-vanishing of vector-valued Poincaré series2
Large absolute values of cyclotomic polynomials at roots of unity2
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group 2
Effective estimates for the smallest parts function2
On twisted A-harmonic sums and Carlitz finite zeta values2
Characterization of quadratic ε−CNS polynomials2
A basis for the space of weakly holomorphic Drinfeld modular forms of level T2
Variétés abéliennes CM et grosse monodromie finie sauvage2
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