Journal of Number Theory

Article	Citations
An alternative Q-form of the cyclotomic double shuffle Lie algebra	28
Editorial Board	26
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields	17
On some local properties of sequences of big Galois representations	13
Continuous lower bounds for moments of the mixed product of twisted L-functions	13
Algebraic properties of the values of newform Dedekind sums	11
An asymptotic formula involving the triple divisor function	11
Subconvexity of twisted Shintani zeta functions	11
Deformations of overconvergent isocrystals on the projective line	10
Algebraic independence of the Carlitz period and its hyperderivatives	10
Sturm-type bounds for modular forms over function fields	10
The total distance for algebraic integers having all their conjugates in a sector	10
Editorial Board	9
Cohomology of congruence subgroups of SL	8
Li coefficients as norms of functions in a model space	8
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)	8
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups	8
Periods of Hodge cycles and special values of the Gauss' hypergeometric function	8
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]	7
Eventual tightness of projective dimension growth bounds: Quadratic in the degree	7
Sets arising as minimal additive complements in the integers	7
On the space of slow growing weak Jacobi forms	7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup	7
Kurokawa-Mizumoto congruence and differential operators on automorphic forms	7
One-level density of the family of twists of an elliptic curve over function fields	7

The Bose-Chowla argument for Sidon sets	7
Hecke eigenspaces for the projective line	6
On an extension of the Landau-Gonek formula	6
Two properties of symmetric cube transfers of modular forms	6
Torsions in cohomology of SL2<	6
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets	6
An inequality related to the sieve of Eratosthenes	6
On prime numbers and quadratic forms represented by positive-definite, primitive quadratic forms	6
On newforms and Saito-Kurokawa lifts	6
Editorial Board	6
Editorial Board	6
Simultaneous insolvability of exponential congruences	6
Heights of rational points on Mordell curves	6
A conjecture of Flach and Morin	5
Greedy Sidon sets for linear forms	5
Hook length biases for self-conjugate partitions and partitions with distinct odd parts	5
Class numbers of binary quadratic polynomials	5
Finding Galois splitting models to compute local invariants	5
Sumset problem on dilated sets of integers	5
On a twisted Jacquet module of GL(2n) over a finite field	5
Lower bounds for the number of subrings in Z	5
Counting pairs of polynomials whose product is a cube	5
Growth of torsion groups of elliptic curves over number fields without rationally defined CM	5
Ankeny-Artin-Chowla and Mordell conjectures in terms of p-rationality	5
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms	5
A note on Bass' conjecture	5
The irrationality of an infinite series involving ω(n) under a prime tuples conjecture	5
Combinatorial invariants for certain classes of non-abelian groups	5
Good elliptic curves with a specified torsion subgroup	4
Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function	4
Upper bounds on large deviations of Dirichlet L-functions in the q-aspect	4
A note on hyperelliptic curves with ordinary reduction over 2-adic fields	4
A Kronecker congruence relation for modular functions of higher level and genus	4
Newspaces with nebentypus: An explicit dimension formula and classification of trivial newspaces	4
On the number of points with bounded dynamical canonical height	4
On a sum involving small arithmetic function and the integral part function	4
Portraits of quadratic rational maps with a small critical cycle	4
Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3	4
A reduction algorithm for Hilbert modular groups	4
Uniform boundedness on rational maps with automorphisms	4
Odd, spoof perfect factorizations	4
Quadratic forms representing large integers only	4
Torsion points of elliptic curves over multi-quadratic number fields	4
A polytopal generalization of Apollonian packings and Descartes' theorem	4
The number of prime factors of integers with dense divisors	4
Effectivity for existence of rational points is undecidable	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
Mass formulas and Eisenstein congruences in higher rank	4
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	4
Siegel theta series for quadratic forms of signature (m − 1,1)	4

Arithmetic properties encoded in the Galois module structure of K	4
Classification of all Galois subcovers of the Skabelund maximal curves	4
Sidon sets for linear forms	3
Almost primes between all squares	3
Poissonian correlations of higher orders	3
Higher moments for lattice point discrepancy of convex domains and annuli	3
Klingen vectors for depth zero supercuspidals of GSp(4)	3
The number of preimages of iterates of ϕ and σ	3
The Sato-Tate conjecture and Nagao's conjecture	3
Underapproximation by Egyptian fractions	3
A basis for the space of weakly holomorphic Drinfeld modular forms of level T	3
Fields of dimension one algebraic over a global or local field need not be of type C1	3
On the solutions of the Diophantine equation Fn	3
Explicit cocycle of the Dedekind-Rademacher cohomology class and the Darmon-Dasgupta measures	3
The rational cuspidal divisor class group of X0(N)	3
Integer factorization as subset-sum problem	3
Quantum unique ergodicity for Eisenstein series on Bruhat–Tits buildings	3
L-values for conductor 32	3
Isolations of the sum of two squares from its proper subforms	3
Euler's factorial series, Hardy integral, and continued fractions	3
Mean square values of Dirichlet L-functions associated to fixed order characters	3
Counting ideals in ray classes	3
Run-length function of the beta-expansion of a fixed real number	3
Special values of spectral zeta functions of graphs and Dirichlet L-functions	3
Algebraic-integer valued polynomials	3
Corrigendum to “On values of weakly holomorphic modular functions at divisors of meromorphic modular forms” [J. Number Theory 239 (2022) 183–206]	3
Fields of definition of K3 surfaces with complex multiplication	3
Distribution and divisibility of the Fourier coefficients of certain Hauptmoduln	3
On the height of some generators of Galois extensions with big Galois group	3
Consecutive tuples of multiplicatively dependent integers	3
On p-adic Siegel Eisenstein series	3
Numbers of the form k + f(k)	3
On bounded basis of integers	3
On differences of perfect powers and prime powers	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
An effective function field version of Schmidt's subspace theorem for projective varieties, with arbitrary families of homogeneous polynomials	3
Meromorphic quasi-modular forms and their L-functions	3
Densities of integer sets represented by quadratic forms	3
Editorial Board	3
An asymptotic expansion of Selberg's central limit theorem near the critical line	3
Higher Mertens constants for almost primes	3
Bias of root numbers for Hilbert newforms of cubic level	3
On the distribution of angles between increasingly many short lattice vectors	3
Crystals of relative displays and Calabi-Yau threefolds	3
Modular invariant of rank 1 Drinfeld modules and class field generation	3
A universal lower bound for certain quadratic integrals of automorphic L–functions	3
On multiplier systems and theta functions of half-integral weight for the Hilbert modular group	3
Numerical estimates on the Landau-Siegel zero and other related quantities	3
An explicit log-free zero density estimate for the Riemann zeta-function	3
Small doubling in cyclic groups	3
On multi-poly-Bernoulli–Carlitz numbers	3
Pairing pythagorean pairs	3
Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms	2
Restricted free products of Demushkin groups of rank ℵ0 as absolute Galois groups	2
Functions with integer-valued divided differences	2
Parts in k-indivisible partitions always display biases between residue classes	2
Asymptotic expansions of the prime counting function	2
Arithmetic intersections of modular geodesics	2
Lie invariant Frobenius lifts	2
Herr complex of (φ,τ)-modules	2
On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture	2
On some applications of GCD sums to arithmetic combinatorics	2
Double descent in classical groups	2
Effective rational approximation on spheres	2
Functional equations for Selberg zeta functions with Tate motives	2
Shifted convolution sums motivated by string theory	2
Statistics for 3-isogeny induced Selmer groups of elliptic curves	2
On pro-p-extensions of number fields with restricted ramification over intermediate 2
Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes	2
Diophantine problems related to cyclic cubic and quartic fields	2
A twisted additive divisor problem	2
Characterization of quadratic ε−CNS polynomials	2
A finiteness result for p-adic families of Bianchi modular forms	2
A conjecture of Merca on nonnegativity of theta series	2
Congruence relations for r-colored partitions	2
Modularity of elliptic curves over cyclotomic Z	2
Multiplicative complements, II.	2
Real quadratic fields admitting universal lattices of rank 7	2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces	2

Logarithmic-type and exponential-type hypergeometric functions for function fields	2
Rikuna's generic cyclic polynomial and the monogenity	2
Unlikely intersections between additive and multiplicative structures	2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
Effective estimates for the smallest parts function	2
On shuffle-type functional relations of desingularized multiple zeta-functions	2
Editorial Board	2
Large absolute values of cyclotomic polynomials at roots of unity	2
Constructions of generalized MSTD sets in higher dimensions	2
Foreword to David Goss' JNT memorial volume	2
Universal sums of triangular numbers and squares	2
Reciprocity obstruction to strong approximation over p-adic function fields	2
On Greenberg's generalized conjecture	2
The distribution of values of L′	2
Bifurcations of digit frequencies in unique expansions	2
Minimal universality criterion sets on the representations of binary quadratic forms	2
On the zeros of period functions associated to the Eisenstein series for Γ	2
On the factor rings of Z[	2
Finite flat group schemes over Z killed by 19	2
On the integrality of locally algebraic representations of GL2(D)	2
Ramanujan type congruences for quotients of Klein forms	2
Sparse distribution of lattice points in annular regions	2
The arithmetic basilica: A quadratic PCF arboreal Galois group	2
Benford's law and random integer decomposition with congruence stopping condition	2
Editorial Board	2
Reductions of abelian varieties and K3 surfaces	2
Long-range correlations of sequences modulo 1	2
Ramanujan's continued fractions of order 10 as modular functions	2
Arithmetic of cubic number fields: Jacobi–Perron, Pythagoras, and indecomposables	2
The finitude of tamely ramified pro-p extensions of number fields with cyclic p-class groups	2
An effective open image theorem for products of principally polarized abelian varieties	2
Nonvanishing of second coefficients of Hecke polynomials	2
Editorial Board	2
Algebraicity modulo p of generalized hypergeometric series F	2
Kummer theory for function fields	2
Maximally elastic quadratic fields	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
Systolic length of triangular modular curves	2
On a class of generalized Fermat equations of signature (2,2n,3)	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
Variations on themes of Sato: A survey	2
Arithmetically equivalent number fields have approximately the same successive minima	2
Diagonal quinary quadratic forms with a strong regularity property	2
The characteristic cycle of a non-confluent ℓ-adic GKZ hypergeometric sheaf	2
The Katok-Sarnak formula for higher weights	2
Editorial Board	2
A weak form of Greenberg's generalized conjecture for imaginary quadratic fields	2
Infinitely many zeros of additively twisted L-functions on the critical line	2
On a Ramanujan-type series associated with the Heegner number 163	2
Corrigendum to: “Continued fractions for rational torsion” [J. Number Theory 189 (2018) 115–130]	2
An explicit sub-Weyl bound for ζ(1/2 + it)	2
Corrigendum to “The integrated fourth moment of Dirichlet L-functions over rational function fields” [J. Number Theory 218 (2021) 334–369]	2
The rank of new regular quadratic forms	2
On twisted A-harmonic sums and Carlitz finite zeta values	2
Hook length biases in ordinary and t-regular partitions	2
On non-Zariski density of (D,S)-integral points in forward orbits and the Subspace Theorem	2
Asymptotic equidistribution for partition statistics and topological invariants	2
Global theta lifting and automorphic periods associated to nilpotent orbits	2
Dirichlet, Sierpiński, and Benford	2
The error term in counting prime pairs	2
Riemann zeta functions for Krull monoids	2
Exceptional poles of local L-functions for GSp(4) with respect to split Bessel models	2
Paramodular forms coming from elliptic curves	2
Hecke theory for SO+(2,n + 2)	2
Jutila's circle method and GL(	2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20	2
On the fifth-power moment of Δ(1)(x)	2
Selberg's orthogonality conjecture and symmetric power L-functions	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
The Selberg–Delange method and mean value of arithmetic functions over short intervals	2
The local-global principle for divisibility in CM elliptic curves	2
Functional equations and gamma factors of local zeta functions for the metaplectic cover of SL2	1
Galois representations with big image in the general symplectic group GSp	1
On integral class field theory for varieties over p-adic fields	1
Spectrum of all multiplicative functions with application to powerfull numbers	1
A note on zero-density approaches for the difference between consecutive primes	1
Finiteness of analytic cohomology of Lubin-Tate (φ,Γ )-modules	1
Shifted convolution sums of divisor functions with Fourier coefficients	1
The Furstenberg–Sárközy theorem and asymptotic total ergodicity phenomena in modular rings	1
Integral parts of reciprocals of the Hurwitz zeta function and the polynomial families that arise in the study thereof	1
Participants at the first JNT Biennial Conference, July 22 - 26, 2019	1
On multiplicatively badly approximable vectors	1
Progress towards a conjecture of S.W. Graham	1
Higher moments related to Dedekind zeta functions of non-normal fields	1
A general class of Schmidt theorems	1
On the types for supercuspidal representations of inner forms of GL	1
Log-concavity of the restricted partition function p	1
A BSD formula for high-weight modular forms	1
On the number of zeros of L−functions attached to cusp forms of half-integral weight	1
Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)	1
Editorial Board	1
Families of Laguerre polynomials with alternating group as Galois group	1
Abelian varieties with prescribed embedding and full embedding degrees	1