Journal of Number Theory

Papers
(The TQCC of Journal of Number Theory is 1. 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 2021-05-01 to 2025-05-01.)
ArticleCitations
The total distance for algebraic integers having all their conjugates in a sector21
Editorial Board18
Algebraic properties of the values of newform Dedekind sums16
Algebraic independence of the Carlitz period and its hyperderivatives15
Shifted convolution sum with weighted average: GL(3)×GL(3) setup13
Sets arising as minimal additive complements in the integers11
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)10
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]10
Minimal generators of the ideal class group9
Periods of Hodge cycles and special values of the Gauss' hypergeometric function9
One-level density of the family of twists of an elliptic curve over function fields8
Cohomology of congruence subgroups of SL8
Li coefficients as norms of functions in a model space8
On the space of slow growing weak Jacobi forms8
On some local properties of sequences of big Galois representations7
Deformations of overconvergent isocrystals on the projective line7
Subconvexity of twisted Shintani zeta functions7
Sturm-type bounds for modular forms over function fields7
Existence of invariant norms in p-adic representations of GL2(F) of large weights6
Editorial Board6
On an extension of the Landau-Gonek formula6
Editorial Board6
Kurokawa-Mizumoto congruence and differential operators on automorphic forms6
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups6
The Bose-Chowla argument for Sidon sets6
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality6
Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series6
Covering groups of M22 as regular Galois groups over Q6
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields6
Editorial Board6
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms6
Simultaneous insolvability of exponential congruences5
Torsions in cohomology of SL2<5
The number of zeros of certain combinations of the Eisenstein series for Γ5
On Fibonacci partitions5
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets5
An inequality related to the sieve of Eratosthenes5
On newforms and Saito-Kurokawa lifts5
Sumset problem on dilated sets of integers5
Finding Galois splitting models to compute local invariants5
A note on Bass' conjecture5
Greedy Sidon sets for linear forms5
Hecke eigenspaces for the projective line5
A conjecture of Flach and Morin5
The number of prime factors of integers with dense divisors5
Siegel theta series for quadratic forms of signature (m − 1,1)4
Growth of torsion groups of elliptic curves over number fields without rationally defined CM4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices4
Lower bounds for the number of subrings in Z4
Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields4
Arithmetic properties encoded in the Galois module structure of K4
Skolem's conjecture confirmed for a family of exponential equations, III4
Good elliptic curves with a specified torsion subgroup4
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials4
Algebraic-integer valued polynomials4
Mass formulas and Eisenstein congruences in higher rank4
Quadratic forms representing large integers only4
Odd, spoof perfect factorizations4
Uniform boundedness on rational maps with automorphisms4
A function field variant of Pillai's problem4
Classification of all Galois subcovers of the Skabelund maximal curves4
Densities of integer sets represented by quadratic forms4
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 34
Counting pairs of polynomials whose product is a cube4
A reduction algorithm for Hilbert modular groups4
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function4
Torsion points of elliptic curves over multi-quadratic number fields4
An inequality for coefficients of the real-rooted polynomials4
On the slopes of the lattice of sections of hermitian line bundles4
Underapproximation by Egyptian fractions4
Sidon sets for linear forms4
Integer factorization as subset-sum problem3
On p-adic Siegel Eisenstein series3
On the height of some generators of Galois extensions with big Galois group3
Fields of definition of K3 surfaces with complex multiplication3
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
Higher moments for lattice point discrepancy of convex domains and annuli3
Run-length function of the beta-expansion of a fixed real number3
An asymptotic expansion of Selberg's central limit theorem near the critical line3
On the standard L-function attached to quaternionic modular forms3
On bounded basis of integers3
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln3
An explicit log-free zero density estimate for the Riemann zeta-function3
Poissonian correlations of higher orders3
Numerical estimates on the Landau-Siegel zero and other related quantities3
The number of preimages of iterates of ϕ and σ3
Bias of root numbers for Hilbert newforms of cubic level3
Crystals of relative displays and Calabi-Yau threefolds3
Klingen vectors for depth zero supercuspidals of GSp(4)3
The Sato-Tate conjecture and Nagao's conjecture3
Counting ideals in ray classes3
Euler's factorial series, Hardy integral, and continued fractions3
Joint universality theorem of Selberg zeta functions for principal congruence subgroups3
Congruences relating class numbers of quadratic orders and Zagier's sums3
Fields of dimension one algebraic over a global or local field need not be of type C13
Asymptotic equidistribution for partition statistics and topological invariants3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings3
A basis for the space of weakly holomorphic Drinfeld modular forms of level T3
Small doubling in cyclic groups3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]3
L-values for conductor 323
Meromorphic quasi-modular forms and their L-functions3
Pairing pythagorean pairs3
On the distribution of angles between increasingly many short lattice vectors3
Higher Mertens constants for almost primes3
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
A universal lower bound for certain quadratic integrals of automorphic L–functions3
On a sum involving small arithmetic function and the integral part function3
The Hausdorff dimension spectrum of Renyi-like continued fractions3
An explicit sub-Weyl bound for ζ(1/2 + it)3
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models3
Points on polynomial curves in small boxes modulo an integer3
Special values of spectral zeta functions of graphs and Dirichlet L-functions3
Editorial Board2
Characterization of quadratic ε−CNS polynomials2
Consecutive tuples of multiplicatively dependent integers2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups2
Arithmetic progressions of Carmichael numbers in a reduced residue class2
The rational cuspidal divisor class group of X0(N)2
Nonvanishing of second coefficients of Hecke polynomials2
Variations on themes of Sato: A survey2
Algorithmic classification of noncorrelated binary pattern sequences2
Ramanujan type congruences for quotients of Klein forms2
On quadratic numbers and forms, and Markoff theory2
Editorial Board2
Double descent in classical groups2
Arithmetically equivalent number fields have approximately the same successive minima2
Multiplicative complements, II.2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]2
On the fifth-power moment of Δ(1)(x)2
On shuffle-type functional relations of desingularized multiple zeta-functions2
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions2
Two b–repunits in the Fibonacci sequence2
Congruence relations for r-colored partitions2
Rikuna's generic cyclic polynomial and the monogenity2
Unlikely intersections between additive and multiplicative structures2
Effective Erdős–Wintner theorems for digital expansions2
Constructions of generalized MSTD sets in higher dimensions2
Parts in k-indivisible partitions always display biases between residue classes2
On the computation of the endomorphism rings of abelian surfaces2
Proof of a conjecture of Cooper2
Infinitely many zeros of additively twisted L-functions on the critical line2
Bifurcations of digit frequencies in unique expansions2
Foreword to David Goss' JNT memorial volume2
The local-global principle for divisibility in CM elliptic curves2
A finiteness result for p-adic families of Bianchi modular forms2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes2
Diophantine problems related to cyclic cubic and quartic fields2
Hecke theory for SO+(2,n + 2)2
On the distribution of the order and index for the reductions of algebraic numbers2
On twisted A-harmonic sums and Carlitz finite zeta values2
Corrigendum to “On a sum involving the Euler function” [J. Number Theory 202 (2019) 278–297]2
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces2
On the solutions of the Diophantine equation Fn2
Functions with integer-valued divided differences2
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products2
Editorial Board2
On a class of generalized Fermat equations of signature (2,2n,3)2
Constant root number on integer fibres of elliptic surfaces2
Algebraicity modulo p of generalized hypergeometric series F2
Sparse distribution of lattice points in annular regions2
Finite flat group schemes over Z killed by 192
Rigid analytic vectors of crystalline representations arising in p-adic Langlands2
Congruences of algebraic p-adic L-functions and the Main Conjecture of Iwasawa Theory2
Longest arithmetic progressions of palindromes2
Universal sums of triangular numbers and squares2
Effective rational approximation on spheres2
Reciprocity obstruction to strong approximation over p-adic function fields2
Digit expansions of numbers in different bases2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 202
The distribution of values of L2
h1 ≠ h1 for Anderson t-motives2
Statistics for 3-isogeny induced Selmer groups of elliptic curves2
Diagonal quinary quadratic forms with a strong regularity property2
Riemann zeta functions for Krull monoids2
Asymptotic expansions of the prime counting function2
Logarithmic-type and exponential-type hypergeometric functions for function fields2
On Greenberg's generalized conjecture2
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group 2
Numbers of the form k + f(k)2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]2
On multi-poly-Bernoulli–Carlitz numbers2
On some applications of GCD sums to arithmetic combinatorics2
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II2
Modular invariant of rank 1 Drinfeld modules and class field generation2
Paramodular forms coming from elliptic curves2
Minimal universality criterion sets on the representations of binary quadratic forms2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point2
An analogue of Kida's formula for fine Selmer groups of elliptic curves2
The Selberg–Delange method and mean value of arithmetic functions over short intervals2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)2
Tate–Shafarevich groups in the cyclotomic Z2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces2
The rank of new regular quadratic forms2
Large absolute values of cyclotomic polynomials at roots of unity2
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
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case2
Lie invariant Frobenius lifts2
Hyperelliptic curves and newform coefficients2
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf2
The distribution relation and inverse function theorem in arithmetic geometry2
Arithmetic intersections of modular geodesics2
Constructing Galois representations ramified at one prime2
A general class of Schmidt theorems1
On additive co-minimal pairs1
A Lehmer-type lower bound for the canonical height on elliptic curves over function fields1
Editorial Board1
Galois representations with big image in the general symplectic group GSp1
Editorial Board1
Sequences with almost Poissonian pair correlations1
Editorial Board1
A BSD formula for high-weight modular forms1
A generalization of formal multiple zeta values related to multiple Eisenstein series and multiple q-zeta values1
Modular forms for the Weil representation induced from isotropic subgroups1
On the duality involution for p-adic general spin groups1
Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,31
A note on non-ordinary primes for some genus-zero arithmetic groups1
Abelian varieties with prescribed embedding and full embedding degrees1
On the types for supercuspidal representations of inner forms of GL1
Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 41
On the growth of cuspidal cohomology of GL41
A weighted version of the Erdős–Kac theorem1
The large sieve with square moduli in function fields1
Spectrum of all multiplicative functions with application to powerfull numbers1
On a conjecture of Iizuka1
An improved explicit estimate for ζ(1/2 + it)1
Finiteness of analytic cohomology of Lubin-Tate (φ,Γ )-modules1
General multiple Dirichlet series from perverse sheaves1
Non-CM elliptic curves with infinitely many almost prime Frobenius traces1
Simultaneous rational periodic points of degree-2 rational maps1
Coppersmith's lattices and “focus groups”: An attack on small-exponent RSA1
Families of Laguerre polynomials with alternating group as Galois group1
A generalized subspace theorem for closed subschemes in subgeneral position1
Exceptional zeros and the Goldbach problem1
Progress towards a conjecture of S.W. Graham1
Probabilistic renormalization and analytic continuation1
Log-concavity of the restricted partition function p1
Functional equations and gamma factors of local zeta functions for the metaplectic cover of SL21
Integral parts of reciprocals of the Hurwitz zeta function and the polynomial families that arise in the study thereof1
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients1
Rationality of four-valued families of Weil sums of binomials1
Explicit bounds for large gaps between squarefree integers1
The digit exchanges in the rotational beta expansions of algebraic numbers1
Existential definability and diophantine stability1
On integral class field theory for varieties over p-adic fields1
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