Journal of Number Theory

Article	Citations
An alternative Q-form of the cyclotomic double shuffle Lie algebra	31
Editorial Board	17
Continuous lower bounds for moments of the mixed product of twisted L-functions	16
On some local properties of sequences of big Galois representations	15
Subconvexity of twisted Shintani zeta functions	14
Editorial Board	13
The total distance for algebraic integers having all their conjugates in a sector	11
Sturm-type bounds for modular forms over function fields	11
Editorial Board	11
Deformations of overconvergent isocrystals on the projective line	11
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 function	9
Li coefficients as norms of functions in a model space	9
Eventual tightness of projective dimension growth bounds: Quadratic in the degree	8
Cohomology of congruence subgroups of SL	8
Algebraic properties of the values of newform Dedekind sums	8
On the space of slow growing weak Jacobi forms	8
Shifted convolution sum with weighted average: GL(3)×GL(3) setup	8
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]	7
Note on a theorem of Birch–Erdős and m-ary partitions	7
Kurokawa-Mizumoto congruence and differential operators on automorphic forms	7
Regular triangular forms of rank exceeding 3	7
Algebraic independence of the Carlitz period and its hyperderivatives	7
Sets arising as minimal additive complements in the integers	7

One-level density of the family of twists of an elliptic curve over function fields	6
An asymptotic formula involving the triple divisor function	6
Torsions in cohomology of SL2<	6
Simultaneous insolvability of exponential congruences	6
On a twisted Jacquet module of GL(2n) over a finite field	6
Archimedean Bump-Friedberg integrals on	6
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields	6
An inequality related to the sieve of Eratosthenes	6
Two properties of symmetric cube transfers of modular forms	6
The Bose-Chowla argument for Sidon sets	6
Editorial Board	6
Greedy Sidon sets for linear forms	6
Heights of rational points on Mordell curves	6
Growth of torsion groups of elliptic curves over number fields without rationally defined CM	5
A conjecture of Flach and Morin	5
On newforms and Saito-Kurokawa lifts	5
Hecke eigenspaces for the projective line	5
Extended modular functions and definite form class groups	5
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture	5
Counting pairs of polynomials whose product is a cube	5
Sumset problem on dilated sets of integers	5
Editorial Board	5
p-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and p-adic interpolation	5
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality	5
Finding Galois splitting models to compute local invariants	5
Combinatorial invariants for certain classes of non-abelian groups	5
Hook length biases for self-conjugate partitions and partitions with distinct odd parts	5
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms	5
A note on Bass' conjecture	5
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets	5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms	5
A Kronecker congruence relation for modular functions of higher level and genus	4
Arithmetic properties encoded in the Galois module structure of K	4
Torsion points of elliptic curves over multi-quadratic number fields	4
Effectivity for existence of rational points is undecidable	4
Exceptional zero formulas for anticyclotomic p-adic L-functions	4
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function	4
On the number of points with bounded dynamical canonical height	4
Siegel theta series for quadratic forms of signature (m − 1,1)	4
Mass formulas and Eisenstein congruences in higher rank	4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3	4
The number of prime factors of integers with dense divisors	4
Invariant part of class groups and distribution of relative class group	4
A reduction algorithm for Hilbert modular groups	4
Class numbers of binary quadratic polynomials	4
Quadratic forms representing large integers only	4
Uniform boundedness on rational maps with automorphisms	4
Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces	4
Classification of all Galois subcovers of the Skabelund maximal curves	4
Numerical investigation of lower order biases in moment expansions of one parameter families of elliptic curves	4

On irrationals with Lagrange value exactly 3	3
A note on mod-p local-global compatibility via Scholze's functor	3
Almost primes between all squares	3
Counting ideals in ray classes	3
Isolations of the sum of two squares from its proper subforms	3
Densities of integer sets represented by quadratic forms	3
On a sum involving small arithmetic function and the integral part function	3
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	3
Editorial Board	3
Numerical estimates on the Landau-Siegel zero and other related quantities	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
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]	3
On the distribution of angles between increasingly many short lattice vectors	3
Bushnell-Reiner zeta functions over two-dimensional semilocal rings	3
A universal lower bound for certain quadratic integrals of automorphic L–functions	3
Poissonian correlations of higher orders	3
An explicit log-free zero density estimate for the Riemann zeta-function	3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures	3
Fields of definition of K3 surfaces with complex multiplication	3
Underapproximation by Egyptian fractions	3
Euler's factorial series, Hardy integral, and continued fractions	3
On bounded basis of integers	3
Higher moments for lattice point discrepancy of convex domains and annuli	3
The rational cuspidal divisor class group of X0(N)	3
Variance of point-counts for families of cubic curves over F<	3
Run-length function of the beta-expansion of a fixed real number	3
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function	3
A note on hyperelliptic curves with ordinary reduction over 2-adic fields	3
The Sato-Tate conjecture and Nagao's conjecture	3
Torsion of rational elliptic curves over the	3
Bias of root numbers for Hilbert newforms of cubic level	3
Crystals of relative displays and Calabi-Yau threefolds	3
On p-adic Siegel Eisenstein series	3
The number of preimages of iterates of ϕ and σ	3
On the height of some generators of Galois extensions with big Galois group	3
Special values of spectral zeta functions of graphs and Dirichlet L-functions	3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings	3
Algebraic-integer valued polynomials	3
M-functions and screw functions: Applications to Goldbach's problem and zeros of the Riemann zeta-function	3
Bol's identity for skew-holomorphic Jacobi forms	3
Sidon sets for linear forms	3
On differences of perfect powers and prime powers	3
Good elliptic curves with a specified torsion subgroup	3
Mean square values of Dirichlet L-functions associated to fixed order characters	3
An asymptotic expansion of Selberg's central limit theorem near the critical line	3
Portraits of quadratic rational maps with a small critical cycle	3
New bounds in R.S. Lehman's estimates for the difference π(	3
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect	3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]	3
Integer factorization as subset-sum problem	3
Small doubling in cyclic groups	3
Hilbert modular Eisenstein congruences of local origin	3
Klingen vectors for depth zero supercuspidals of GSp(4)	3
Numbers of the form k + f(k)	3
A polytopal generalization of Apollonian packings and Descartes' theorem	3
Meromorphic quasi-modular forms and their L-functions	3
Fields of dimension one algebraic over a global or local field need not be of type C1	3
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials	3
Unlikely intersections between additive and multiplicative structures	2
The local-global principle for divisibility in CM elliptic curves	2
The Selberg–Delange method and mean value of arithmetic functions over short intervals	2
Replenishing p-adic L-functions and Euler systems at their bad primes	2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]	2
Monodromy of elliptic logarithms: Some topological methods and effective results	2
Effective rational approximation on spheres	2
Constructions of generalized MSTD sets in higher dimensions	2
Double descent in classical groups	2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20	2
Polynomial analogue of Erdős' extension of the Romanoff theorem	2
A basis for the space of weakly holomorphic Drinfeld modular forms of level T	2
The distribution of values of L′	2
On the factor rings of Z[	2
Goldbach representations with several primes	2
Galois theory of quadratic rational functions with periodic critical points	2
Infinitely many zeros of additively twisted L-functions on the critical line	2
On members of Lucas sequences with bounded prime gaps	2
Modular invariant of rank 1 Drinfeld modules and class field generation	2
The rank of new regular quadratic forms	2
Editorial Board	2
Bifurcations of digit frequencies in unique expansions	2

On the non-vanishing of Hilbert Poincaré series	2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture	2
Multiplicative complements, II.	2
Arithmetically equivalent number fields have approximately the same successive minima	2
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions	2
Murmurations and Sato–Tate conjectures for high rank zetas of elliptic curves	2
Realisability of simultaneous density constraints for sets of integers	2
On Greenberg's generalized conjecture	2
On the fifth-power moment of Δ(1)(x)	2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank	2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields	2
Editorial Board	2
Algebraicity modulo p of generalized hypergeometric series F	2
Lie invariant Frobenius lifts	2
Constant root number on integer fibres of elliptic surfaces	2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms	2
Parts in k-indivisible partitions always display biases between residue classes	2
An effective open image theorem for products of principally polarized abelian varieties	2
Herr complex of (φ,τ)-modules	2
Reciprocity obstruction to strong approximation over p-adic function fields	2
Hook length biases in ordinary and t-regular partitions	2
Editorial Board	2
Diagonal quinary quadratic forms with a strong regularity property	2
Variants of Kohnen's conjecture for Hermitian modular forms	2
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group	2
Ramanujan type congruences for quotients of Klein forms	2
Characterization of quadratic ε−CNS polynomials	2
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln	2
Greenberg's conjecture and Iwasawa module of real biquadratic fields I	2
Shifted convolution sums motivated by string theory	2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models	2
Universal sums of triangular numbers and squares	2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups	2
On a Ramanujan-type series associated with the Heegner number 163	2
An explicit sub-Weyl bound for ζ(1/2 + it)	2
Statistics for 3-isogeny induced Selmer groups of elliptic curves	2
Effective estimates for the smallest parts function	2
Nonvanishing of second coefficients of Hecke polynomials	2
Minimal universality criterion sets on the representations of binary quadratic forms	2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces	2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
Modularity of elliptic curves over cyclotomic Z	2
Asymptotic expansions of the prime counting function	2
Asymptotic equidistribution for partition statistics and topological invariants	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables	2
An optimal lower bound for the size of the restricted sumsets containing powers	2
On p-adic modularity in the p-adic Heisenberg algebra	2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf	2
Injectivity of the genus 1 Kudla–Millson lift on locally symmetric spaces	2
Congruence relations for r-colored partitions	2
Large absolute values of cyclotomic polynomials at roots of unity	2
Benford's law and random integer decomposition with congruence stopping condition	2
Numerical action for endomorphisms	2
Sparse distribution of lattice points in annular regions	2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem	2
On the solutions of the Diophantine equation Fn	2
Dirichlet, Sierpiński, and Benford	2
Diophantine problems related to cyclic cubic and quartic fields	2
Riemann zeta functions for Krull monoids	2
Finite flat group schemes over Z killed by 19	2
Selberg's orthogonality conjecture and symmetric power L-functions	2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point	2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands	2
Hecke theory for SO+(2,n + 2)	2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]	2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups	2
Kummer theory for function fields	2
Editorial Board	2
Consecutive tuples of multiplicatively dependent integers	2