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
Editorial Board	11
Deformations of overconvergent isocrystals on the projective line	11
The total distance for algebraic integers having all their conjugates in a sector	11
Sturm-type bounds for modular forms over function fields	11
Periods of Hodge cycles and special values of the Gauss' hypergeometric function	9
Li coefficients as norms of functions in a model space	9
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)	9
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
Eventual tightness of projective dimension growth bounds: Quadratic in the degree	8
Cohomology of congruence subgroups of SL	8
Algebraic independence of the Carlitz period and its hyperderivatives	7
Sets arising as minimal additive complements in the integers	7
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

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
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
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
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
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
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

The rational cuspidal divisor class group of X0(N)	3
Bias of root numbers for Hilbert newforms of cubic level	3
Higher moments for lattice point discrepancy of convex domains and annuli	3
On p-adic Siegel Eisenstein series	3
Variance of point-counts for families of cubic curves over F<	3
Special values of spectral zeta functions of graphs and Dirichlet L-functions	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
Torsion of rational elliptic curves over the	3
Crystals of relative displays and Calabi-Yau threefolds	3
On the height of some generators of Galois extensions with big Galois group	3
The number of preimages of iterates of ϕ and σ	3
Algebraic-integer valued polynomials	3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings	3
M-functions and screw functions: Applications to Goldbach's problem and zeros of the Riemann zeta-function	3
New bounds in R.S. Lehman's estimates for the difference π(	3
Bol's identity for skew-holomorphic Jacobi forms	3
On differences of perfect powers and prime powers	3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]	3
Sidon sets for linear forms	3
Small doubling in cyclic groups	3
Good elliptic curves with a specified torsion subgroup	3
Klingen vectors for depth zero supercuspidals of GSp(4)	3
Mean square values of Dirichlet L-functions associated to fixed order characters	3
Meromorphic quasi-modular forms and their L-functions	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
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect	3
Integer factorization as subset-sum problem	3
Hilbert modular Eisenstein congruences of local origin	3
A polytopal generalization of Apollonian packings and Descartes' theorem	3
Numbers of the form k + f(k)	3
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials	3
Fields of dimension one algebraic over a global or local field need not be of type C1	3
On irrationals with Lagrange value exactly 3	3
Editorial Board	3
A note on mod-p local-global compatibility via Scholze's functor	3
Counting ideals in ray classes	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
Almost primes between all squares	3
On the distribution of angles between increasingly many short lattice vectors	3
Isolations of the sum of two squares from its proper subforms	3
Poissonian correlations of higher orders	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
Numerical estimates on the Landau-Siegel zero and other related quantities	3
Corrigendum to “A unique pair of triangles” [J. Number Theory 194 (2019) 297–302]	3
A universal lower bound for certain quadratic integrals of automorphic L–functions	3
Bushnell-Reiner zeta functions over two-dimensional semilocal rings	3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures	3
An explicit log-free zero density estimate for the Riemann zeta-function	3
Fields of definition of K3 surfaces with complex multiplication	3
Underapproximation by Egyptian fractions	3
On bounded basis of integers	3
The Sato-Tate conjecture and Nagao's conjecture	3
Euler's factorial series, Hardy integral, and continued fractions	3
Lie invariant Frobenius lifts	2
On p-adic modularity in the p-adic Heisenberg algebra	2
Parts in k-indivisible partitions always display biases between residue classes	2
Injectivity of the genus 1 Kudla–Millson lift on locally symmetric spaces	2
Herr complex of (φ,τ)-modules	2
Numerical action for endomorphisms	2
Hook length biases in ordinary and t-regular partitions	2
Reciprocity obstruction to strong approximation over p-adic function fields	2
On the solutions of the Diophantine equation Fn	2
Variants of Kohnen's conjecture for Hermitian modular forms	2
Diagonal quinary quadratic forms with a strong regularity property	2
Diophantine problems related to cyclic cubic and quartic fields	2
Finite flat group schemes over Z killed by 19	2
Ramanujan type congruences for quotients of Klein forms	2
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point	2
Characterization of quadratic ε−CNS polynomials	2
Universal sums of triangular numbers and squares	2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups	2
Shifted convolution sums motivated by string theory	2
Hecke theory for SO+(2,n + 2)	2
Consecutive tuples of multiplicatively dependent integers	2
On a Ramanujan-type series associated with the Heegner number 163	2

Kummer theory for function fields	2
The Selberg–Delange method and mean value of arithmetic functions over short intervals	2
Effective estimates for the smallest parts function	2
Unlikely intersections between additive and multiplicative structures	2
Monodromy of elliptic logarithms: Some topological methods and effective results	2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces	2
Replenishing p-adic L-functions and Euler systems at their bad primes	2
Double descent in classical groups	2
Asymptotic expansions of the prime counting function	2
Effective rational approximation on spheres	2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables	2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20	2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf	2
A basis for the space of weakly holomorphic Drinfeld modular forms of level T	2
Congruence relations for r-colored partitions	2
Galois theory of quadratic rational functions with periodic critical points	2
Benford's law and random integer decomposition with congruence stopping condition	2
Large absolute values of cyclotomic polynomials at roots of unity	2
Modular invariant of rank 1 Drinfeld modules and class field generation	2
Sparse distribution of lattice points in annular regions	2
Editorial Board	2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem	2
On the non-vanishing of Hilbert Poincaré series	2
Riemann zeta functions for Krull monoids	2
Multiplicative complements, II.	2
Dirichlet, Sierpiński, and Benford	2
Rigid analytic vectors of crystalline representations arising in p-adic Langlands	2
Murmurations and Sato–Tate conjectures for high rank zetas of elliptic curves	2
Selberg's orthogonality conjecture and symmetric power L-functions	2
Arithmetically equivalent number fields have approximately the same successive minima	2
On the fifth-power moment of Δ(1)(x)	2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]	2
Realisability of simultaneous density constraints for sets of integers	2
Editorial Board	2
Editorial Board	2
Surjectivity of the adelic Galois representation associated to a Drinfeld module of prime rank	2
Constant root number on integer fibres of elliptic surfaces	2
The local-global principle for divisibility in CM elliptic curves	2
Algebraicity modulo p of generalized hypergeometric series F	2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]	2
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms	2
Constructions of generalized MSTD sets in higher dimensions	2
An effective open image theorem for products of principally polarized abelian varieties	2
Polynomial analogue of Erdős' extension of the Romanoff theorem	2
Editorial Board	2
The distribution of values of L′	2
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group	2
Goldbach representations with several primes	2
On the factor rings of Z[	2
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln	2
Greenberg's conjecture and Iwasawa module of real biquadratic fields I	2
Infinitely many zeros of additively twisted L-functions on the critical line	2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models	2
On members of Lucas sequences with bounded prime gaps	2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups	2
Bifurcations of digit frequencies in unique expansions	2
An explicit sub-Weyl bound for ζ(1/2 + it)	2
The rank of new regular quadratic forms	2
Nonvanishing of second coefficients of Hecke polynomials	2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture	2
Statistics for 3-isogeny induced Selmer groups of elliptic curves	2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions	2
Minimal universality criterion sets on the representations of binary quadratic forms	2
Asymptotic equidistribution for partition statistics and topological invariants	2
On Greenberg's generalized conjecture	2
Modularity of elliptic curves over cyclotomic Z	2
An optimal lower bound for the size of the restricted sumsets containing powers	2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
Resolution of Erdős' problems about unimodularity	1
A note on zero-density approaches for the difference between consecutive primes	1
Editorial Board	1
Spectrum of all multiplicative functions with application to powerfull numbers	1
Families of Laguerre polynomials with alternating group as Galois group	1
Mean of the product of derivatives of Hardy's Z-function with Dirichlet polynomial	1
Cyclotomic symmetric multiple zeta values span the space of cyclotomic multiple zeta values	1
Integral parts of reciprocals of the Hurwitz zeta function and the polynomial families that arise in the study thereof	1
Comparing regular and backward continued fractions: Lochs-type theorems and approximation properties	1
Arithmetic statistics of families of integer S-polynomials and application to class group torsion	1
A Lehmer-type lower bound for the canonical height on elliptic curves over function fields	1
Distribution of cycles in supersingular ℓ-isogeny graphs	1
Progress towards a conjecture of S.W. Graham	1
Poissonian pair correlation of linear generalized monomials over primes	1
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	1
Some computational results on a conjecture of de Polignac about numbers of the form p + 2	1
Degeneracy loci in the universal family of Abelian varieties	1
On integral class field theory for varieties over p-adic fields	1
A general class of Schmidt theorems	1
Upper bounds for the lowest first zero in families of cuspidal newforms	1
On the number of zeros of L−functions attached to cusp forms of half-integral weight	1
Shifted convolution sums of divisor functions with Fourier coefficients	1
Extreme values of Dirichlet polynomials with multiplicative coefficients	1
Counting ideals in abelian number fields	1
Editorial Board	1