Journal of Number Theory

Article	Citations
Editorial Board	28
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields	22
Continuous lower bounds for moments of the mixed product of twisted L-functions	18
On some local properties of sequences of big Galois representations	16
Subconvexity of twisted Shintani zeta functions	13
An asymptotic formula involving the triple divisor function	12
Deformations of overconvergent isocrystals on the projective line	11
Algebraic independence of the Carlitz period and its hyperderivatives	10
Sturm-type bounds for modular forms over function fields	10
Covering groups of M22 as regular Galois groups over Q	10
Editorial Board	9
Li coefficients as norms of functions in a model space	9
The total distance for algebraic integers having all their conjugates in a sector	9
Sets arising as minimal additive complements in the integers	9
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups	8
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]	8
Periods of Hodge cycles and special values of the Gauss' hypergeometric function	8
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)	8
Cohomology of congruence subgroups of SL	8
On the space of slow growing weak Jacobi forms	8
Editorial Board	7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup	7
Algebraic properties of the values of newform Dedekind sums	7
Eventual tightness of projective dimension growth bounds: Quadratic in the degree	7
One-level density of the family of twists of an elliptic curve over function fields	7

Kurokawa-Mizumoto congruence and differential operators on automorphic forms	7
The Bose-Chowla argument for Sidon sets	7
Simultaneous insolvability of exponential congruences	6
Greedy Sidon sets for linear forms	6
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality	6
On an extension of the Landau-Gonek formula	6
On a twisted Jacquet module of GL(2n) over a finite field	6
A note on Bass' conjecture	6
Heights of rational points on Mordell curves	6
Two properties of symmetric cube transfers of modular forms	6
An inequality related to the sieve of Eratosthenes	6
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms	5
On newforms and Saito-Kurokawa lifts	5
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets	5
Finding Galois splitting models to compute local invariants	5
Counting pairs of polynomials whose product is a cube	5
Editorial Board	5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms	5
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture	5
Growth of torsion groups of elliptic curves over number fields without rationally defined CM	5
Sumset problem on dilated sets of integers	5
Torsions in cohomology of SL2<	5
Hecke eigenspaces for the projective line	5
A conjecture of Flach and Morin	5
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function	5
Lower bounds for the number of subrings in Z	4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3	4
Portraits of quadratic rational maps with a small critical cycle	4
On the number of points with bounded dynamical canonical height	4
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect	4
A reduction algorithm for Hilbert modular groups	4
The number of prime factors of integers with dense divisors	4
Siegel theta series for quadratic forms of signature (m − 1,1)	4
Uniform boundedness on rational maps with automorphisms	4
Effectivity for existence of rational points is undecidable	4
A polytopal generalization of Apollonian packings and Descartes' theorem	4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	4
Quadratic forms representing large integers only	4
Odd, spoof perfect factorizations	4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields	4
Torsion points of elliptic curves over multi-quadratic number fields	4
Classification of all Galois subcovers of the Skabelund maximal curves	4
Mass formulas and Eisenstein congruences in higher rank	4
Arithmetic properties encoded in the Galois module structure of K	4
Higher moments for lattice point discrepancy of convex domains and annuli	3
Euler's factorial series, Hardy integral, and continued fractions	3
Densities of integer sets represented by quadratic forms	3
On p-adic Siegel Eisenstein series	3
Good elliptic curves with a specified torsion subgroup	3
The Sato-Tate conjecture and Nagao's conjecture	3

On a sum involving small arithmetic function and the integral part function	3
Numerical estimates on the Landau-Siegel zero and other related quantities	3
Underapproximation by Egyptian fractions	3
Poissonian correlations of higher orders	3
The number of preimages of iterates of ϕ and σ	3
L-values for conductor 32	3
On bounded basis of integers	3
On the height of some generators of Galois extensions with big Galois group	3
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials	3
A universal lower bound for certain quadratic integrals of automorphic L–functions	3
Bias of root numbers for Hilbert newforms of cubic level	3
On the slopes of the lattice of sections of hermitian line bundles	3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]	3
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function	3
Fields of definition of K3 surfaces with complex multiplication	3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures	3
Crystals of relative displays and Calabi-Yau threefolds	3
Integer factorization as subset-sum problem	3
Small doubling in cyclic groups	3
Algebraic-integer valued polynomials	3
Mean square values of Dirichlet L-functions associated to fixed order characters	3
Run-length function of the beta-expansion of a fixed real number	3
Pairing pythagorean pairs	3
An asymptotic expansion of Selberg's central limit theorem near the critical line	3
On the distribution of angles between increasingly many short lattice vectors	3
Sidon sets for linear forms	3
Meromorphic quasi-modular forms and their L-functions	3
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]	3
Special values of spectral zeta functions of graphs and Dirichlet L-functions	3
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 dimension one algebraic over a global or local field need not be of type C1	3
Editorial Board	2
Hecke theory for SO+(2,n + 2)	2
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln	2
The Selberg–Delange method and mean value of arithmetic functions over short intervals	2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms	2
On twisted A-harmonic sums and Carlitz finite zeta values	2
Unlikely intersections between additive and multiplicative structures	2
Asymptotic equidistribution for partition statistics and topological invariants	2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces	2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models	2
Kummer theory for function fields	2
Riemann zeta functions for Krull monoids	2
A basis for the space of weakly holomorphic Drinfeld modular forms of level T	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
On the solutions of the Diophantine equation Fn	2
Editorial Board	2
Arithmetic intersections of modular geodesics	2
Minimal universality criterion sets on the representations of binary quadratic forms	2
An explicit log-free zero density estimate for the Riemann zeta-function	2
Arithmetically equivalent number fields have approximately the same successive minima	2
Higher Mertens constants for almost primes	2
Realisability of simultaneous density constraints for sets of integers	2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
Constant root number on integer fibres of elliptic surfaces	2
On a class of generalized Fermat equations of signature (2,2n,3)	2
Diophantine problems related to cyclic cubic and quartic fields	2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20	2
A finiteness result for p-adic families of Bianchi modular forms	2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups	2
Paramodular forms coming from elliptic curves	2
The rational cuspidal divisor class group of X0(N)	2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables	2
Klingen vectors for depth zero supercuspidals of GSp(4)	2
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	2
Consecutive tuples of multiplicatively dependent integers	2
Editorial Board	2
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group	2
Foreword to David Goss' JNT memorial volume	2
Counting ideals in ray classes	2
Statistics for 3-isogeny induced Selmer groups of elliptic curves	2
On the fifth-power moment of Δ(1)(x)	2
Finite flat group schemes over Z killed by 19	2
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings	2
Constructions of generalized MSTD sets in higher dimensions	2
The Hausdorff dimension spectrum of Renyi-like continued fractions	2
Effective rational approximation on spheres	2
An explicit sub-Weyl bound for ζ(1/2 + it)	2
Algebraicity modulo p of generalized hypergeometric series F	2
Multiplicative complements, II.	2

Logarithmic-type and exponential-type hypergeometric functions for function fields	2
On shuffle-type functional relations of desingularized multiple zeta-functions	2
Nonvanishing of second coefficients of Hecke polynomials	2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank	2
Modular invariant of rank 1 Drinfeld modules and class field generation	2
An effective open image theorem for products of principally polarized abelian varieties	2
On multi-poly-Bernoulli–Carlitz numbers	2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups	2
Numbers of the form k + f(k)	2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point	2
The circle method and shifted convolution sums involving the divisor function	1
Diagonal quinary quadratic forms with a strong regularity property	1
Non-zero central values of Dirichlet twists of elliptic L-functions	1
Effective Erdős–Wintner theorems for digital expansions	1
On the Glasner property for matrices with polynomial entries	1
Ring class fields and a result of Hasse	1
Universal sums of triangular numbers and squares	1
Extrema of polynomials with real roots and Diophantine equations	1
Variétés abéliennes CM et grosse monodromie finie sauvage	1
Bifurcations of digit frequencies in unique expansions	1
A conjecture of Merca on nonnegativity of theta series	1
Maesaka–Seki–Watanabe's formula for multiple harmonic q-sums	1
The rank of new regular quadratic forms	1
Mean value formulas on sublattices and flags of the random lattice	1
On the normal number of prime factors of sums of Fourier coefficients of eigenforms	1
Higher moments of the pair correlation function for Sato-Tate sequences	1
An algorithm for checking injectivity of specialization maps from elliptic surfaces	1
On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series	1
Parts in k-indivisible partitions always display biases between residue classes	1
Sums of square roots that are close to an integer	1
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf	1
New density results and congruences for Andrews' singular overpartitions	1
Reducible mod 105 representations and modularity of elliptic curves	1
The distribution of values of L′	1
Editorial Board	1
The fractional sum of small arithmetic functions	1
Linear x-coordinate relations of triples on elliptic curves	1
On the computation of the endomorphism rings of abelian surfaces	1
Tetragonal modular quotients X0	1
Parity of the coefficients of certain eta-quotients	1
Rigid analytic vectors of crystalline representations arising in p-adic Langlands	1
Some computational results on a conjecture of de Polignac about numbers of the form p + 2	1
Double descent in classical groups	1
Undecidable arithmetic properties of solutions of Fredholm integral equations	1
How often is d(n) a power of a given integer?	1
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]	1
Subconvexity for GL3	1
Special values of L-functions on regular arithmetic schemes of dimension 1	1
Primitively 2-universal senary integral quadratic forms	1
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields	1
A new proof of a vanishing result due to Berthelot, Esnault, and Rülling	1
Large absolute values of cyclotomic polynomials at roots of unity	1
Jutila's circle method and GL(	1
Global liftings between inner forms of GSp(4)	1
Some remarks on the critical values of Rankin–Selberg L-series	1
Variations on themes of Sato: A survey	1
The sixth moment of automorphic L-functions	1
Editorial Board	1
Reciprocity obstruction to strong approximation over p-adic function fields	1
Editorial Board	1
On the factor rings of Z[	1
A physical study of the LLL algorithm	1
Motivic multiple zeta values and the block filtration	1
Rikuna's generic cyclic polynomial and the monogenity	1
Degeneracy loci in the universal family of Abelian varieties	1
Real quadratic fields admitting universal lattices of rank 7	1
Consecutive runs of sums of two squares	1
Ramanujan type congruences for quotients of Klein forms	1
Log-free zero density estimates for automorphic L-functions	1
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares	1
Functions with integer-valued divided differences	1
On Drinfeld modular forms of higher rank II	1
Tate–Shafarevich groups in the cyclotomic Z	1
p-adic Cohomology and Arithmetic Applications: Conference in Banff, 2017	1
Subset sums over Galois rings II	1
Lie invariant Frobenius lifts	1
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	1
Möbius Disjointness Conjecture on the product of a circle and the Heisenberg nilmanifold	1
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions	1
Editorial Board	1
Global theta lifting and automorphic periods associated to nilpotent orbits	1
Parity of the coefficients of certain eta-quotients, II: The case of even-regular partitions	1
A refined lifting theorem for supersingular Galois representations	1
Moments of ideal class counting functions	1
Reductions of abelian varieties and K3 surfaces	1
The norm residue symbol for higher local fields	1
Sparse distribution of lattice points in annular regions	1
On the rank of cubic and quartic twists of elliptic curves by primes	1
t-Aspect subconvexity for GL(2)×GL(2) L-function	1
Herr complex of (φ,τ)-modules	1
Improved bounds for the index conjecture in zero-sum theory	1
Pólya group in some real biquadratic fields	1
Orbits in lattices	1
On some applications of GCD sums to arithmetic combinatorics	1
Editorial Board	1