Journal of Number Theory

Article	Citations
On the existence of maximal spanning vectors in L2<	20
Non-zero central values of Dirichlet twists of elliptic L-functions	17
Some computational results on a conjecture of de Polignac about numbers of the form p + 2	15
Kurokawa-Mizumoto congruence and differential operators on automorphic forms	13
Subconvexity of twisted Shintani zeta functions	13
Capitulation abélienne des groupes de classes de rayons	12
Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups	9
Unique sums and differences in finite Abelian groups	9
Distance between natural numbers based on their prime signature	9
Periods of Hodge cycles and special values of the Gauss' hypergeometric function	8
Foreword to David Goss' JNT memorial volume	8
Ternary quadratic forms representing a given arithmetic progression	8
Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem	8
On the space of slow growing weak Jacobi forms	6
On the Glasner property for matrices with polynomial entries	6
Algebraic independence of the Carlitz period and its hyperderivatives	6
p-adic Cohomology and Arithmetic Applications: Conference in Banff, 2017	6
Sets arising as minimal additive complements in the integers	6
Editorial Board	6
Hyperbolic Heron triangles and elliptic curves	6
On Drinfeld modular forms of higher rank II	6
Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas	5
Constant root number on integer fibres of elliptic surfaces	5
Non-commutative analytic subgroup theorem	5
Uniform effective estimates for |L(1,χ)|	5

Anticyclotomic μ-invariants of residually reducible Galois representations	5
One-level density of the family of twists of an elliptic curve over function fields	5
Maximum gap in cyclotomic polynomials	5
Coprime partitions and Jordan totient functions	5
Sign changes of Δ(1)(x)	5
Algebraic properties of Э-functions	5
Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)	5
Subconvexity for GL3	5
Undecidable arithmetic properties of solutions of Fredholm integral equations	5
Editorial Board	5
Asymptotic Fermat for signature (4,2,p) over number fields	4
Deformations of overconvergent isocrystals on the projective line	4
Residue of special functions of Anderson A-modules at the characteristic graph	4
Editorial Board	4
Optimal spinor selectivity for quaternion orders	4
Coefficients of the monodromy matrices of one-parameter families of double octic Calabi-Yau threefolds at a half-conifold point	4
Generalizing the distribution of missing sums in sumsets	4
The critical polynomial of a graph	4
Editorial Board	4
The total distance for algebraic integers having all their conjugates in a sector	4
On p-adic L-functions for GL(2)×GL(3) via pullbacks of Saito–Kurokawa lifts	4
The Chevalley–Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)	4
Construction of modular differential equations by using Rankin-Cohen brackets	4
On the compactification of the Drinfeld modular curve of level Γ<	4
Editorial Board	4
Large values of ζ(s) for 1/2 < Re(s)<1	4
Extreme values of Dirichlet polynomials with multiplicative coefficients	4
Notes on isocrystals	4
Mean squares of quadratic twists of the Möbius function	4
Simultaneous visibility in the integer lattice	4
Counting 3-dimensional algebraic tori over Q	4
Reformulating the p-adic Littlewood Conjecture in terms of infinite loops mod p	4
L-series and isomorphisms of number fields	4
On the representability of sequences as constant terms	4
Shifted convolution sum with weighted average: GL(3)×GL(3) setup	4
Main conjectures for higher rank nearly ordinary families – I	4
Equivariant special L-values of abelian t-modules	4
On the connected components of Shimura varieties for CM unitary groups in odd variables	4
Jacobi forms with CM and applications	4
Editorial Board	4
Li coefficients as norms of functions in a model space	4
Arithmetic differential operators with congruence level structures: First results and examples	4
Modular equations for congruence subgroups of genus zero (II)	3
Two b–repunits in the Fibonacci sequence	3
Farey sequence and Graham's conjectures	3
Longest arithmetic progressions of palindromes	3
Editorial Board	3
Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface	3
Editorial Board	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
Torsion growth of rational elliptic curves in sextic number fields	3
Existence of invariant norms in p-adic representations of GL2(F) of large weights	3
R-groups for unitary principal series of Spin groups	3
A local to global principle for higher zero-cycles	3
On the moments of the moments of ζ(1/2 + it)	3
Report on Zhi-Wei Sun's 1-3-5 conjecture and some of its refinements	3
Proof of a conjecture of Cooper	3
Hausdorff dimension of certain sets related to random αβ-orbits which are not dense	3
Deducing the positive odd density of p(n) from that of a multipartition function: An unconditional proof	3
Theta-type congruences for colored partitions	3
Bounds for coefficients of the f(q) mock theta function and applications to partition ranks	3
Rarefied Thue-Morse sums via automata theory and logic	3
Primitive rational points on expanding horospheres in Hilbert modular surfaces	3
Periods of t-modules as special values	3
Algebraic properties of the values of newform Dedekind sums	3
Finite slope triple product p-adic L-functions over totally real number fields	3
Kolyvagin derivatives of modular points on elliptic curves	3
Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces	3
Editorial Board	3
Finite flat group schemes over Z killed by 19	3
Estimate of periods on Hirzebruch–Zagier cycles	3
Ramification in the Inverse Galois Problem	3
On the representation numbers satisfying partially multiplicative relations	3
Lower bound for higher moments of the mixed product of twisted L-functions	3
Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction	3
Converse theorem of Gauss sums	3
Covering groups of M22 as regular Galois groups over Q	3
On the decomposition of symmetric powers of automorphic representations for GL(3) and GL(4)	3
Optimal spinor selectivity for quaternion Bass orders	3
The Selberg–Delange method and mean value of arithmetic functions over short intervals	3
Editorial Board	3
Computing intersections of closed geodesics on the modular curve	3
Drinfeld cusp forms: oldforms and newforms	3
On quadratic numbers and forms, and Markoff theory	3
Geometry of biquadratic and cyclic cubic log-unit lattices	3
On the relations between the zeros of a polynomial and its Mahler measure	3
On real zeros of the Hurwitz zeta function	3
Quadratic twists of X0(14)	3
Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series	3
Diagonal odd-regular ternary quadratic forms	3
On newforms and Saito-Kurokawa lifts	2
On the variance of the Fibonacci partition function	2
Powers of Gauss sums in quadratic fields	2
Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind zeta residues	2
Local criteria for universal and primitively universal quadratic forms	2
Editorial Board	2
Arithmetic properties of the sum of divisors	2
Generalizations of Sturmian sequences associated with -continued fraction algorithms	2
Higher power moments of symmetric square L-function	2
Minimal generators of the ideal class group	2
On a conjecture of Ramírez Alfonsín and Skałba	2
Primitively 2-universal senary integral quadratic forms	2
The multiplication table for smooth integers	2
Compactifications of Iwahori-level Hilbert modular varieties	2
Corrigendum to “Minimal generators of the ideal class group” [J. Number Theory 222 (2021) 157–167]	2
Comparison of integral structures on the space of modular forms of full level N	2
Factorization of coefficients for exponential and logarithm in function fields	2
How far is an extension of p-adic fields from having a normal integral basis?	2
Counting elliptic curves with a rational N-isogeny for small N	2
Root numbers for the Jacobian varieties of Fermat curves	2
Primitively universal quaternary quadratic forms	2
Log-concavity of the restricted partition function p	2
The Bose-Chowla argument for Sidon sets	2
Shifted convolution sums of divisor functions with Fourier coefficients	2
Fibonacci primes, primes of the form 2  − k and beyond	2
Extrema of polynomials with real roots and Diophantine equations	2
A local to global principle for expected values	2
Lattice isometries and K3 surface automorphisms: Salem numbers of degree 20	2
Triple correlation sums of coefficients of cusp forms	2
Sato–Tate type distributions for matrix points on elliptic curves and some K3 surfaces	2
Editorial Board	2
On product-one sequences with congruence conditions over non-abelian groups	2
On non monogenity of certain number fields defined by trinomials x6 + ax3 + b	2
Discrete mean values of the product of derivatives of shifted Dirichlet L-functions	2
Representations of the p-adic GSpin4 and GSpin6 and the adjoint L-function	2
Riemann zeta functions for Krull monoids	2
Kronecker limit formulas for parabolic, hyperbolic and elliptic Eisenstein series via Borcherds products	2
Mean of the product of derivatives of Hardy's Z-function with Dirichlet polynomial	2
Corrigendum to “The rational points on certain Abelian varieties over function fields” [J. Number Theory 195 (2019) 330–337]	2

Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms – Part II	2
Non-vanishing of multiple zeta values for higher genus curves over finite fields	2
Nearly holomorphic automorphic forms on SL2	2
Cusp forms as p-adic limits	2
Linear independence of even periods of modular forms	2
A Lehmer-type lower bound for the canonical height on elliptic curves over function fields	2
Minimal universality criterion sets on the representations of binary quadratic forms	2
The ring of integers of Hopf-Galois degree p extensions of p-adic fields with dihedral normal closure	2
Schmidt's subspace theorem for arbitrary families of moving hypersurface targets	2
On the fifth-power moment of Δ(1)(x)	2
Sequences with almost Poissonian pair correlations	2
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients	2
Editorial Board	2
Editorial Board	2
Quadratic base change and resonance sums for holomorphic cusp forms on Γ0(N)	2
Recursively divisible numbers	2
Solving Skolem's problem for the k–generalized Fibonacci sequence with negative indices	2
Participants at the first JNT Biennial Conference, July 22 - 26, 2019	2
Sturm-type bounds for modular forms over function fields	2
On some local properties of sequences of big Galois representations	2
Class group and factorization in orders of a PID	2
An inequality related to the sieve of Eratosthenes	2
Plectic structures in p-adic de Rham cohomology	2
Massey products in Galois cohomology and the elementary type conjecture	2
Corrigendum to “Monogenic pure cubics” [J. Number Theory 219 (2021) 356–367]	2
On mod p congruences for Drinfeld modular forms of level	2
Cohomology of congruence subgroups of SL	2
On Gauss factorials and their connection to the cyclotomic λ-invariants of imaginary quadratic fields	2
Log-free zero density estimates for automorphic L-functions	2
Arithmetically equivalent number fields have approximately the same successive minima	2
On uniform distribution of αβ-orbits	2
Generalisations of multiple zeta values to rooted forests	2
Twisted Ruelle zeta function at zero for compact hyperbolic surfaces	2
A fundamental lemma for the Hecke algebra: The Jacquet–Rallis case	2
On the modulo p zeros of modular forms congruent to theta series	2
Arithmetic of Hecke L-functions of quadratic extensions of totally real fields	2
Editorial Board	2
An improved explicit estimate for ζ(1/2 + it)	2
Hecke theory for SO+(2,n + 2)	2
On the growth speed of digits in Engel expansions	2
Finiteness of analytic cohomology of Lubin-Tate (φ,Γ )-modules	2
Degeneracy loci in the universal family of Abelian varieties	2
On the normal number of prime factors of sums of Fourier coefficients of eigenforms	2
Unlikely intersections between additive and multiplicative structures	2
Arithmetic constraints of polynomial maps through discrete logarithms	2
Double coset operators and eta-quotients	1
Moments of central values of quartic Dirichlet L-functions	1
Sum of the Fourier coefficients of SL(3	1
Pseudo-normalized Hecke eigenform and its application to extremal 2-modular lattices	1
A t-motivic interpretation of shuffle relations for multizeta values	1
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields	1
Rigid analytic vectors of crystalline representations arising in p-adic Langlands	1
The tame Hilbert symbol via K-theory and central extensions	1
Cuspidal projections of products of Eisenstein series	1
Probabilistic renormalization and analytic continuation	1
The rank of a CM elliptic curve and a recurrence formula	1
Atkinson's formula for the mean square of ζ(s) with an explicit error term	1
Analogues of Alladi's formula	1
Lie invariant Frobenius lifts	1
Factorization of composition of reciprocal polynomials with monomials	1
Non-CM elliptic curves with infinitely many almost prime Frobenius traces	1
Bifurcations of digit frequencies in unique expansions	1
Quadratic forms representing large integers only	1
Siegel theta series for quadratic forms of signature (m − 1,1)	1
Arithmetic properties encoded in the Galois module structure of K	1
Lower bounds for the number of subrings in Z	1
Optimality of two inequalities for exponents of Diophantine approximation	1
On the p-th division polynomial	1
Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4	1
Representation of zero-sum invariants by sets of zero-sum sequences over a finite abelian group II	1
From binary Hermitian forms to parabolic cocycles of Euclidean Bianchi groups	1
The rank of new regular quadratic forms	1
On the number of solutions of systems of certain diagonal equations over finite fields	1
Tate–Shafarevich groups in the cyclotomic Z	1
Universal sums of triangular numbers and squares	1
Big Picard theorem for jet differentials and non-archimedean Ax-Lindemann theorem	1
The generalized linear periods	1
Exceptional zeros and the Goldbach problem	1
Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type E7,3	1
Optimal test functions for detecting central point vanishing over families of L-functions	1
On Drinfeld modular forms of higher rank IV: Modular forms with level	1
Explicit bounds for large gaps between squarefree integers	1
On zeros of multilinear polynomials	1
Functions with integer-valued divided differences	1
Double descent in classical groups	1
Functional equation of the p-adic L-function of Bianchi modular forms	1
Odd, spoof perfect factorizations	1
New developments in the theory of modular forms over function fields	1
On the computation of the endomorphism rings of abelian surfaces	1
A weighted version of the Erdős–Kac theorem	1
Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function	1
Secondary terms in the asymptotics of moments of L-functions	1
Counting pairs of polynomials whose product is a cube	1
On some applications of GCD sums to arithmetic combinatorics	1
Parity of coefficients of mock theta functions	1