Journal of Number Theory

Article	Citations
Non-zero central values of Dirichlet twists of elliptic L-functions	21
Kurokawa-Mizumoto congruence and differential operators on automorphic forms	16
Capitulation abélienne des groupes de classes de rayons	15
Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem	13
Foreword to David Goss' JNT memorial volume	13
Editorial Board	10
Algebraic independence of the Carlitz period and its hyperderivatives	10
On Drinfeld modular forms of higher rank II	10
Maximum gap in cyclotomic polynomials	9
Sets arising as minimal additive complements in the integers	9
Editorial Board	8
Undecidable arithmetic properties of solutions of Fredholm integral equations	8
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point	7
Shifted convolution sum with weighted average: GL(3)×GL(3) setup	7
Extreme values of Dirichlet polynomials with multiplicative coefficients	7
Editorial Board	6
Residue of special functions of Anderson A-modules at the characteristic graph	6
Counting 3-dimensional algebraic tori over Q	6
On the representability of sequences as constant terms	6
The critical polynomial of a graph	6
Editorial Board	6
The total distance for algebraic integers having all their conjugates in a sector	6
Editorial Board	6
Editorial Board	6
Construction of modular differential equations by using Rankin-Cohen brackets	6

Algebraic properties of the values of newform Dedekind sums	6
Participants at the first JNT Biennial Conference, July 22 - 26, 2019	5
Log-free zero density estimates for automorphic L-functions	5
Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface	5
Editorial Board	5
Periods of t-modules as special values	5
Arithmetic constraints of polynomial maps through discrete logarithms	5
Editorial Board	5
Editorial Board	5
Drinfeld cusp forms: oldforms and newforms	5
On the normal number of prime factors of sums of Fourier coefficients of eigenforms	5
Massey products in Galois cohomology and the elementary type conjecture	5
Editorial Board	5
On the relations between the zeros of a polynomial and its Mahler measure	5
Hecke theory for SO+(2,n + 2)	4
Editorial Board	4
Sturm-type bounds for modular forms over function fields	4
On the compactification of the Drinfeld modular curve of level Γ<	4
Covering groups of M22 as regular Galois groups over Q	4
Report on Zhi-Wei Sun's 1-3-5 conjecture and some of its refinements	4
Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas	4
Non-commutative analytic subgroup theorem	4
Uniform effective estimates for |L(1,χ)|	4
Cusp forms as p-adic limits	4
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields	4
Editorial Board	4
Higher power moments of symmetric square L-function	4
Editorial Board	4
On p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts	4
Unique sums and differences in finite Abelian groups	4
Diagonal odd-regular ternary quadratic forms	4
Simultaneous visibility in the integer lattice	4
On quadratic numbers and forms, and Markoff theory	4
Primitive rational points on expanding horospheres in Hilbert modular surfaces	4
Local criteria for universal and primitively universal quadratic forms	4
The Bose-Chowla argument for Sidon sets	4
Discrete mean values of the product of derivatives of shifted Dirichlet L-functions	4
Factorization of coefficients for exponential and logarithm in function fields	4
Subconvexity for GL3	4
Li coefficients as norms of functions in a model space	4
Reformulating the p-adic Littlewood Conjecture in terms of infinite loops mod p	4
On product-one sequences with congruence conditions over non-abelian groups	4
Coprime partitions and Jordan totient functions	4
Powers of Gauss sums in quadratic fields	4
Farey sequence and Graham's conjectures	4
Geometry of biquadratic and cyclic cubic log-unit lattices	4
Compactifications of Iwahori-level Hilbert modular varieties	4
Hausdorff dimension of certain sets related to random αβ-orbits which are not dense	3
Hyperbolic Heron triangles and elliptic curves	3
Mean of the product of derivatives of Hardy's Z-function with Dirichlet polynomial	3

Deducing the positive odd density of p(n) from that of a multipartition function: An unconditional proof	3
Converse theorem of Gauss sums	3
Modular equations for congruence subgroups of genus zero (II)	3
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks	3
Notes on isocrystals	3
Class group and factorization in orders of a PID	3
Primitively 2-universal senary integral quadratic forms	3
Linear independence of even periods of modular forms	3
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	3
Deformations of overconvergent isocrystals on the projective line	3
On the Glasner property for matrices with polynomial entries	3
Extrema of polynomials with real roots and Diophantine equations	3
Optimal spinor selectivity for quaternion orders	3
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products	3
Main conjectures for higher rank nearly ordinary families – I	3
Root numbers for the Jacobian varieties of Fermat curves	3
Distance between natural numbers based on their prime signature	3
Proof of a conjecture of Cooper	3
Sign changes of Δ(1)(x)	3
Non-vanishing of multiple zeta values for higher genus curves over finite fields	3
Some computational results on a conjecture of de Polignac about numbers of the form p + 2	3
On real zeros of the Hurwitz zeta function	3
A note on effective descent for overconvergent isocrystals	3
A zero-sum problem related to the max gap of the unit group of the residue class ring	3
On the space of slow growing weak Jacobi forms	3
R-groups for unitary principal series of Spin groups	3
Finite flat group schemes over Z killed by 19	3
Cohomology of congruence subgroups of SL	3
Anticyclotomic μ-invariants of residually reducible Galois representations	3
Improved bounds for the index conjecture in zero-sum theory	3
One-level density of the family of twists of an elliptic curve over function fields	3
Algebraic properties of Э-functions	3
Optimal spinor selectivity for quaternion Bass orders	3
p-adic Cohomology and Arithmetic Applications: Conference in Banff, 2017	3
Subconvexity of twisted Shintani zeta functions	3
Solving Skolem's problem for the k–generalized Fibonacci sequence with negative indices	3
On the variance of the Fibonacci partition function	3
On the fifth-power moment of Δ(1)(x)	3
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces	3
Minimal universality criterion sets on the representations of binary quadratic forms	3
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups	3
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
On the growth of cuspidal cohomology of GL4	2
Corrigendum to “The rational points on certain Abelian varieties over function fields” [J. Number Theory 195 (2019) 330–337]	2
Longest arithmetic progressions of palindromes	2
Primitively universal quaternary quadratic forms	2
On Gauss factorials and their connection to the cyclotomic λ-invariants of imaginary quadratic fields	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
A local to global principle for expected values	2
The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms	2
Sequences with almost Poissonian pair correlations	2
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	2
On Cilleruelo-Nathanson's method in Sidon sets	2
On Galois groups of linearized polynomials related to the general linear group of prime degree	2
Large values of ζ(s) for 1/2 < Re(s)<1	2
Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity	2
An analogue of Kida's formula for fine Selmer groups of elliptic curves	2
Integral parts of reciprocals of the Hurwitz zeta function and the polynomial families that arise in the study thereof	2
Generalizations of Sturmian sequences associated with -continued fraction algorithms	2
Existence of invariant norms in p-adic representations of GL2(F) of large weights	2
On an extension of the Landau-Gonek formula	2
On mod p congruences for Drinfeld modular forms of level	2
On the moments of the moments of ζ(1/2 + it)	2
A note on primes of the form ⌊αp + β⌋	2
Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series	2
Periods of Hodge cycles and special values of the Gauss' hypergeometric function	2
Editorial Board	2
Corrigendum to “Minimal generators of the ideal class group” [J. Number Theory 222 (2021) 157–167]	2
The Selberg–Delange method and mean value of arithmetic functions over short intervals	2
L-series and isomorphisms of number fields	2
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]	2
Mean squares of quadratic twists of the Möbius function	2
Editorial Board	2
Statistics for 3-isogeny induced Selmer groups of elliptic curves	2
Arithmetic differential operators with congruence level structures: First results and examples	2
Editorial Board	2
Generalizing the distribution of missing sums in sumsets	2
Effective rational approximation on spheres	2
Equivariant special L-values of abelian t-modules	2
Tempered perfect lattices in the binary case	2

A Lehmer-type lower bound for the canonical height on elliptic curves over function fields	2
Finite slope triple product p-adic L-functions over totally real number fields	2
Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen)	2
An improved explicit estimate for ζ(1/2 + it)	2
Hyperkloosterman sums revisited	2
Constructing plus/minus local points over Iwasawa Kummer extensions, and Iwasawa theory for supersingular reduction	2
Theta-type congruences for colored partitions	2
The large sieve with square moduli in function fields	2
Quadratic twists of X0(14)	2
Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	2
Simultaneous insolvability of exponential congruences	2
Two b–repunits in the Fibonacci sequence	2
On some local properties of sequences of big Galois representations	2
Recursively divisible numbers	2
Lower bound for higher moments of the mixed product of twisted L-functions	2
Constant root number on integer fibres of elliptic surfaces	2
On a conjecture of Ramírez Alfonsín and Skałba	2
On the decomposition of symmetric powers of automorphic representations for GL(3) and GL(4)	2
Rarefied Thue-Morse sums via automata theory and logic	2
Jacobi forms with CM and applications	2
First order Stickelberger modules over imaginary quadratic fields	2
On the existence of maximal spanning vectors in L2<	2
Arithmetic properties of the sum of divisors	2
On the representation numbers satisfying partially multiplicative relations	2
Galois actions on Tate modules of Abelian varieties with semi-stable reduction	2
A new bound for A(A + A) for large sets	2
Functional equations and gamma factors of local zeta functions for the metaplectic cover of SL2	2
Torsions in cohomology of SL2<	2
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces	2
Twisted Weyl group multiple Dirichlet series over the rational function field	2
Comparison of integral structures on the space of modular forms of full level N	2
Kolyvagin derivatives of modular points on elliptic curves	2
On explicit estimates for S(t), S1(t), and ζ(1	2
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients	2
Spectrum of all multiplicative functions with application to powerfull numbers	2
Editorial Board	2
Minimal generators of the ideal class group	2
Preface	2
Estimate of periods on Hirzebruch–Zagier cycles	2
Arithmetically equivalent number fields have approximately the same successive minima	2
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)	2
Computing intersections of closed geodesics on the modular curve	2
Ternary quadratic forms representing a given arithmetic progression	2
Editorial Board	2
Representations of the p-adic GSpin4 and GSpin6 and the adjoint L-function	2
Asymptotic Fermat for signature (4,2,p) over number fields	2
Unlikely intersections between additive and multiplicative structures	2
On the connected components of Shimura varieties for CM unitary groups in odd variables	2
Lower bounds for the number of subrings in Z	1
Asymptotic formula for balanced words	1
Lower bounds for linear forms in two p-adic logarithms	1
On some applications of GCD sums to arithmetic combinatorics	1
Mass formulas and Eisenstein congruences in higher rank	1
Sum of the Fourier coefficients of SL(3	1
The number of prime factors of integers with dense divisors	1
Exceptional zeros and the Goldbach problem	1
Atkinson's formula for the mean square of ζ(s) with an explicit error term	1
h1 ≠ h1 for Anderson t-motives	1
Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers	1
Uniform bounds for periods of endomorphisms of varieties	1
Classification of all Galois subcovers of the Skabelund maximal curves	1
New developments in the theory of modular forms over function fields	1
Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4	1
The generalized linear periods	1
A function field variant of Pillai's problem	1
Asai cube L-functions and the local Langlands correspondence	1
Optimal test functions for detecting central point vanishing over families of L-functions	1
Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,3	1
General multiple Dirichlet series from perverse sheaves	1
From binary Hermitian forms to parabolic cocycles of Euclidean Bianchi groups	1
On Drinfeld modular forms of higher rank IV: Modular forms with level	1
L-functions of certain exponential sums over finite fields II	1
Large absolute values of cyclotomic polynomials at roots of unity	1
Double descent in classical groups	1
Certain eta-quotients and arithmetic density of Andrews' singular overpartitions	1
Wildly ramified power series with large multiplicity	1
A note on the number of solutions of the Pillai type equation |	1
Anticyclotomic main conjecture and the non-triviality of Rankin–Selberg L-values in Hida families	1
Editorial Board	1
Effective Erdős–Wintner theorems for digital expansions	1
Class numbers of real quadratic fields	1
Rationality of four-valued families of Weil sums of binomials	1
Reciprocity obstruction to strong approximation over p-adic function fields	1
Lie invariant Frobenius lifts	1
Finding Galois splitting models to compute local invariants	1
On zeros of multilinear polynomials	1
Arithmetic properties encoded in the Galois module structure of K	1
Diagonal quinary quadratic forms with a strong regularity property	1
Cuspidal projections of products of Eisenstein series	1
Constructing Galois representations ramified at one prime	1
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	1
Universal sums of triangular numbers and squares	1
Zeros of L(s)+L(2s)+⋯ + L(Ns) in the region of absolute convergence	1
Poissonian correlation of higher order differences	1
Odd, spoof perfect factorizations	1