International Journal of Number Theory

Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers

Divisibility results on Franel numbers and related polynomials

The Lindelöf class of L-functions II

Recurrence relations for polynomials obtained by arithmetic functions

Zeta determinant of the Laplacian on the real projective spaces

On subset sums of zero-sum free sets of abelian groups

Complete solutions of the simultaneous Pell’s equations x2 − (a2 − 1)y2 = 1 and y2 − pz2 = 1

On longest matching consecutive subsequence

11-Regular partitions and a Hecke eigenform

Generating functions and congruences for some partition functions related to mock theta functions

A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/3ℤ

Galois groups of Taylor polynomials of some elementary functions

On applications for Mahler expansion associated with p-adic q-integrals

On triple correlations of Fourier coefficients of cusp forms. II

Computing embedding numbers and branches of orders via extensions of the Bruhat-Tits tree

Restricted sumsets in ℤn

Indices in a number field II

On values taken by the largest prime factor of shifted primes (II)

A Class of S-Restricted Compositions

Large families of pseudorandom binary lattices by using the multiplicative inverse modulo P

Elliptic surfaces over ℙ1 and large class groups of number fields

On the Hilbert 2-class field of some quadratic number fields

Ramanujan’s convolution sum twisted by Dirichlet characters

Poles of triple product $L$-functions involving monomial represenations

Brauer–Manin obstruction and families of generalised Châtelet surfaces over number fields

Determining cuspforms from critical values of convolution L-functions and Rankin–Cohen brackets

Analytical approach to Ramanujan type and Ramanujan’s modular equations of degree 7

Third-order mock theta functions

The congruence equation a¯ + b¯ ≡c¯(modp)

“cases? for φ also” a question raised by Ramanujan

Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic

Vanishing of the coefficients of a half Lerch sum

On a problem of Erdös related to common factor differences

The Sato-Tate distribution in thin families of elliptic curves over high degree extensions of finite fields

Computation of Euclidean minima in totally definite quaternion fields

Strongly modular models of ℚ-curves

The non-congruent numbers via Monsky’s formula

On the smooth values of shifted almost-primes

Exponential sums involving q-digital functions

Products of disjoint blocks of integers being high powers

The discriminant of compositum of algebraic number fields

Congruence properties of pk(n)

Statistics of traces of high powers of the Frobenius for biquadratic function fields over finite fields

A new approach in interpreting some mock theta functions

Universal Fourier expansions of Bianchi modular forms

Explicit Solutions of Imaginary Quadratic Norm Equations

Asymptotics of certain double series in Eulerian form