International Journal of Number Theory

Article	Citations
Deformations of certain reducible Galois representations III	15
On the d-representation of integers	15
Some remarks on the Erdős Distinct subset sums problem	12
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	9
Relations of multiple t-values of general level	7
Multi-partition analogue of q-binomial coefficients	7
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	5
The ????-primary uniform boundedness conjecture for Drinfeld modules	5
Some q-supercongruences for truncated q-trinomial coefficients	4
Numbers of the form kf(k)	4
Deformations of reducible Galois representations to Hida-families	4
Convexity and Log-Concavity of the Partition Function Weighted by the Parity of the Crank	4
The set of limit points for the conjugates of Pisot numbers	4
Local densities of diagonal integral ternary quadratic forms at odd primes	3
Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i)	3
Newly reducible polynomial iterates	3
On values of logarithmic derivative of L-function attached to modular form	3
Towards the Sato–Tate groups of trinomial hyperelliptic curves	3
Jensen polynomials for holomorphic functions	3
On central L-values and the growth of the 3-part of the Tate–Shafarevich group	3
Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows	3
On sums of gcd-sum functions	3
Rational points on Del Pezzo surfaces of degree four	3
Convergence of improper Iwasawa continued fractions	3
Conjugacy classes and rational period functions for the Hecke groups	3

Odd values of partition functions related to binary quadratic forms	3
On classification of sequences containing arbitrarily long arithmetic progressions	3
On the k-resultant modulus set problem on varieties over finite fields	3
On the superspecial loci of orthogonal type Shimura varieties	3
On the parity of the number of (a,b,m)-copartitions of n	2
On fractional sums of the divisor functions	2
Explicit Burgess bound for composite moduli	2
On the Shimura lift modulo 2	2
Integrality properties in the moduli space of elliptic curves: CM case	2
Geodesic flows and the mother of all continued fractions	2
A conjecture of Hegyvári	2
Product of three primes in large arithmetic progressions	2
Lacunary eta quotients with identically vanishing coefficients	2
Finite sequences of integers expressible as sums of two squares	2
Refinement of some partition identities of Merca and Yee	2
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	2
Cyclic cubic extensions of ℚ	2
On the number of l-regular overpartitions	2
Inhomogeneous Diophantine approximation for generic homogeneous functions	2
Zero-free regions for spectral averages of Hecke L-functions	2
GL(2) Weyl bound via a multiplicative character delta method	2
Near-miss identities and spinor genus classification of ternary quadratic forms with congruence conditions	2
Corrigendum to “The discriminant of compositum of algebraic number fields”	2
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	2
Ternary quadratic forms representing the same integers	2
Uniformity of quadratic points	2
Twisted moments of GL(3) ×GL(2) L-functions	2
On a sum involving small arithmetic functions	2
On some estimates involving Fourier coefficients of Maass cusp forms	2
On the jth smallest modulus of a covering system with distinct moduli	2
Mertens’ theorem for Chebotarev sets	2
Dirichlet series associated to sum-of-digits functions	2
Fourier coefficients of cusp forms on special sequences	2
The mean number of divisors for rough, dense and practical numbers	2
The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	2
The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions	2
Rational points on x3 + x2y2 + y3 = k	2
Paramodular groups and theta series	1
Further generalizations of some Hecke-type identities	1
On members of Lucas sequences which are products of Catalan numbers	1
Near-squares in binary recurrence sequences	1
Hyperelliptic curves with many automorphisms	1
Variations on a theme of Mirsky	1
Conductors of twisted Weil–Deligne representations	1
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	1
On factorizations into coprime parts	1
Structural properties of multiple zeta values	1
Computing Shintani domains	1
On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture	1
The transcendence of growth constants associated with polynomial recursions	1

Metrical properties for functions of consecutive multiple partial quotients in continued fractions	1
Galois groups arising from families with big orthogonal monodromy	1
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	1
Moments of Dirichlet L-functions to a fixed modulus over function fields	1
On some discrete mean values of higher derivatives of Hardy’s Z-function	1
Author index (Volume 19)	1
Torsion of elliptic curves in the compositum of Dihedral fields	1
Uniform distribution of polynomially-defined additive functions to varying moduli	1
A two-parametric family of high rank Mordell curves	1
Spherical functions and local densities on the space of p-adic quaternion Hermitian forms	1
Author index (Volume 18)	1
The Effect of the trace operator on the duality of modular grids in genus zero levels	1
Analogue of Ramanujan’s function k(τ) for the cubic continued fraction	1
Primes in denominators of algebraic numbers	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
An explicit lifting construction of CAP forms on O(1,5)	1
On primary pseudo-polynomials (around Ruzsa’s conjecture)	1
A function related to the Mordell–Weil rank of elliptic curves	1
On the analytic strong multiplicity one for SL(2)	1
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	1
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds	1
A shifted Mahler measure identity for Boyd’s family	1
Zeros of a binomial combination of Chebyshev polynomials	1
Theta series for quadratic forms of signature (n − 1,1) with (spherical) polynomials	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
Consecutive square-free numbers and square-free primitive roots	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Descent for projective twists of modular curves	1
A LeVeque-type inequality on the ring of p-adic integers	1
On 5ψ5 identities of Bailey	1
Uniformizer of the false Tate curve extension of ℚp (II)	1
Singmaster-type results for Stirling numbers and some related diophantine equations	1
On weighted overpartitions related to some q-series in Ramanujan’s lost notebook	1
Locally cyclic extensions with Galois group GL2(p)	1
First moment of central values of quadratic Hecke L-functions in the Gaussian field	1
A note on values of the Dedekind zeta-function at odd positive integers	1
Galois deformation rings and modularity in the residually reducible case	1
Almost prime triples and Chen’s theorem	1
Divisibility and distribution of mex-related integer partitions of Andrews and Newman	1
Hecke operators on Hilbert–Siegel theta series	1
Efficient congruencing in ellipsephic sets: the general case	1
Limit shapes for unimodal sequences	1
F-Diophantine sets over finite fields	1
On the Diophantine equation σ2(X¯n) = σn(X¯n)	1
A study on anabelian geometry of higher local fields	1
A note on prime number races and zero free regions for L functions	1
Unramified extensions of quadratic number fields with certain perfect Galois groups	1
Fourier coefficients and slopes of Drinfeld modular forms	1
On restricted divisor sums associated to the Chowla–Walum conjecture	1
A p-adic lower bound for a linear form in logarithms	1
Translated sums on special family of quasi-primitive sequences	1
Internal congruences modulo powers of 5, 7 and 13 for certain partition functions	1
The Hasse principle for finite Galois modules allowing exceptional sets of positive density	1
On monogenity of certain pure number fields defined by xpr − m	1
A relative bigness inequality and equidistribution theorem over function fields	1
On Artin’s conjecture for pairs of diagonal forms	1
On irrationality criteria for the Ramanujan summation of certain series	1
An octic diophantine equation and related families of elliptic curves	1
The number of representations of squares by integral quaternary quadratic forms	1
Interlacing properties for zeros of a family of modular forms	1
On the non-vanishing of Fourier coefficients of half-integral weight cuspforms	1
A note on the size of iterated sumsets in ℤd	1
Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	1
Distribution of ω(n) over h-free and h-full numbers	1
Reductions of Galois representations and the theta operator	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Generalized L-functions related to the Riemann zeta function	1
Functional equation of Mordell–Tornheim multiple zeta function	1
A note on weakly prime-additive numbers	1
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	1
A polynomial method for proving congruences of pω(n,m) and pν(n,m)	1
On an elliptic curve involving pairs of triangles and special quadrilaterals	1
Hilbert Poincaré series and kernels for products of L-functions	1
Absolute zeta functions arising from ceiling and floor Puiseux polynomials	0
Orthogonal Eisenstein series and theta lifts	0
Galois criterion for torsion points of Drinfeld modules	0
Higher reciprocity laws and ternary linear recurrence sequences	0

The generalized Catalan equation in positive characteristic	0
Cubic function fields with prescribed ramification	0
The Shimura–Shintani correspondence via singular theta lifts and currents	0
On Hecke eigenvalues of cusp forms in almost all short intervals	0
New proofs of the septic Rogers–Ramanujan identities	0
Shintani cones for complex cubic number fields	0
A sum of three nonzero triangular numbers	0
Consecutive quadratic residues in Beatty sequences	0
On multiple Hurwitz zeta function of Mordell–Tornheim type	0
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	0
Special values of ray class partial zeta functions	0
On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials	0
On approximation by random Lüroth expansions	0
Polar harmonic Maaß forms and holomorphic projection	0
A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds	0
Rational solutions to the variants of Erdős–Selfridge superelliptic curves	0
Hida theory for special orders	0
Linear algebra and congruences for MacMahon’s k-rowed plane partitions	0
Residue pattern for infinitely many primes	0
On a family of Siegel Poincaré series	0
Dense clusters of zeros near the zero-free region of ζ(s)	0
A global invariant and Hasse invariants at finite or real primes	0
On the kth root partition function	0
Hankel determinants of sequences related to Bernoulli and Euler polynomials	0
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	0
On 12-congruences of elliptic curves	0
Triple correlations of ternary divisor functions. II	0
Exceptional sets related to the largest digits in Lüroth expansions	0
2-adic volume of the homogeneous space of a quadratic form	0
Some separable integer partition classes	0
Non-random behavior in sums of modular symbols	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
The explicit Sato–Tate conjecture for primes in arithmetic progressions	0
Eigenform product identities of genus two Siegel modular forms of general congruence level	0
On exceptionality of dimension three in terms of lattice angles	0
Projective toric codes	0
Cesàro averages for Goldbach representations with summands in arithmetic progressions	0
Rationality of the Petersson Inner Product of Cohen’s Kernels	0
Identities of general Kloosterman sums	0
Diversity in rationally parameterized number fields	0
kth powers in Piatetski-Shapiro sequences	0
Irreducibility and Galois groups of truncated binomial polynomials	0
On the properties of Northcott and Narkiewicz for elliptic curves	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
There are no Diophantine quadruples of Pell numbers	0
Preface	0
Arithmetic progressions in squarefull numbers	0
The large sieve with power moduli in imaginary quadratic number fields	0
Explicit Weil-pairing for Drinfeld modules	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
Non-vanishing of theta components of Jacobi forms with level and an application	0
Integer-valued definable functions in ℝan,exp	0
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	0
On k-fold super totient numbers	0
Congruences for k-elongated plane partition diamonds	0
Detailed asymptotic expansions for partitions into powers	0
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	0
Relative convergence speed of Lüroth expansions and Hausdorff dimension	0
New and simple proofs of Ramanujan’s modular equations of degree 11	0
Congruences of Galois representations attached to effective A-motives over global function fields	0
Minimal excludant over partitions into distinct parts	0
Rankin–Cohen brackets of Eisenstein series	0
Two-torsion subgroups of some modular Jacobians	0
Congruence classes for modular forms over small sets	0
Double and triple character sums and gaps between the elements of subgroups of finite fields	0
Author index (Volume 20)	0
The sum of four squares over real quadratic number fields	0
Frobenius finds non-monogenic division fields of abelian varieties	0
Zeros of the degree zero functions from the extended selberg class	0
On the order of magnitude of Sudler products II	0
On the divisibility of 7-elongated plane partition diamonds by powers of 8	0
Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion	0
Ranks in the family of hyperelliptic Jacobians of y2 = x5 + ax II	0
A Freiman-type Theorem for restricted sumsets	0
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	0
On almost-prime k-tuples	0
On exponential sums for coefficients of general L-functions	0
Hybrid subconvexity bounds for twists of GL(3) L-functions	0
Computing base extensions of ordinary abelian varieties over finite fields	0
Elliptic curves with few bad primes	0
Inhomogeneous additive equations	0
Quadratic points on non-split Cartan modular curves	0
Lambert series associated to Hilbert modular form	0
On the vertical distribution of values of L-functions in the Selberg class	0
On additive decompositions of primitive elements in finite fields	0
Adelic Voronoï summation and subconvexity for GL(2) L-functions in the depth aspect	0
On ∞-adic and v-adic multiple zeta functions in positive characteristic	0
On a variant of Pillai’s problem with binary recurrences and S-units	0
On the sum of a Fibonacci number and a prime	0
The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture	0
Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13	0
Hasse principle violations in twist families of superelliptic curves	0
Proof of a conjecture on congruences of the sum of minimal excludants	0
On k-measures and Durfee squares of partitions	0
Higher-dimensional gap theorems for the maximum metric	0