International Journal of Number Theory

Article	Citations
A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)	21
On monogenity of certain pure number fields defined by xpr − m	15
Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13	15
Combinatorial proof of the minimal excludant theorem	12
On certain sums of number theory	9
On the error term in the explicit formula of Riemann–von Mangoldt	7
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	7
The Ru–Vojta result for subvarieties	5
Higher-dimensional gap theorems for the maximum metric	5
Mock modular Eisenstein series with Nebentypus	4
Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions	4
Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞	4
Product of three primes in large arithmetic progressions	4
Minimal excludant over partitions into distinct parts	4
On weighted overpartitions related to some q-series in Ramanujan’s lost notebook	4
Conjugates of Pisot numbers	4
Supersingular j-invariants and the class number of ℚ(−p)	3
Expected value of the smallest denominator in a random interval of fixed radius	3
The smallest parts function associated with ω(q)	3
Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields	3
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	3
A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds	3
2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications	3
Oscillations in weighted arithmetic sums	3
Towards the Sato–Tate groups of trinomial hyperelliptic curves	3

The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	3
Rankin–Cohen brackets of Eisenstein series	3
On the order of magnitude of Sudler products II	3
On the divisibility among power GCD and power LCM matrices on gcd-closed sets	3
k-Diophantine m-tuples in finite fields	3
Efficient congruencing in ellipsephic sets: the general case	3
Unramified extensions of quadratic number fields with certain perfect Galois groups	3
Vanishing coefficients in quotients of theta functions with odd moduli	2
On the λ-stability of p-class groups along cyclic p-towers of a number field	2
A note on weakly prime-additive numbers	2
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	2
On the kth root partition function	2
Supersingular conjectures for the Fricke group	2
Orthogonal Eisenstein series and theta lifts	2
Quadratic points on non-split Cartan modular curves	2
Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3	2
Note on partitions into polynomials with number of parts in an arithmetic progression	2
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height	2
The sum of a prime and a Fibonacci number	2
First moment of central values of quadratic Hecke L-functions in the Gaussian field	2
On the jth smallest modulus of a covering system with distinct moduli	2
On the number of l-regular overpartitions	2
The second moment of Sn(t) on the Riemann hypothesis	2
Adelic Voronoï summation and subconvexity for GL(2) L-functions in the depth aspect	2
Projective toric codes	2
Shintani cones for complex cubic number fields	2
Hankel determinants of sequences related to Bernoulli and Euler polynomials	2
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II	2
Location of the zeros of certain cuspforms	2
On some sums involving the integral part function	2
Consecutive square-free numbers and square-free primitive roots	2
The mean number of divisors for rough, dense and practical numbers	2
Neighborly partitions and the numerators of Rogers–Ramanujan identities	2
Congruences of local origin and automorphic induction	2
Lambert series associated to Hilbert modular form	2
A sum of three nonzero triangular numbers	2
Cubic function fields with prescribed ramification	2
On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x	2
On the divisibility of the rank of appearance of a Lucas sequence	2
On the l.c.m. of shifted Fibonacci numbers	1
Cyclic cubic extensions of ℚ	1
On a family of mild functions	1
On abelian covers of the projective line with fixed gonality and many rational points	1
On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function	1
Computing Shintani domains	1
Factoring polynomials over finite fields	1
On the Rankin–Selberg method for vector-valued Siegel modular forms	1
On fractional sums of the divisor functions	1
Number of ?q-points on diagonal hypersurfaces and hypergeometric function	1
Integrality properties in the moduli space of elliptic curves: CM case	1

The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture	1
Some q-supercongruences related to Swisher’s (H.3) conjecture	1
Explicit Weil-pairing for Drinfeld modules	1
A diophantine equation inspired by Brahmagupta’s identity	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Constructing totally p-adic numbers of small height	1
Identities of general Kloosterman sums	1
On Gauss sums over Dedekind domains	1
Terms of recurrence sequences in the solution sets of generalized Pell equations	1
kth powers in Piatetski-Shapiro sequences	1
Structural properties of multiple zeta values	1
Hankel determinants of linear combinations of moments of orthogonal polynomials	1
On a variant of Pillai’s problem with binary recurrences and S-units	1
Congruences of Galois representations attached to effective A-motives over global function fields	1
Further generalizations of some Hecke-type identities	1
Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes	1
On the sum of a Fibonacci number and a prime	1
On primary pseudo-polynomials (around Ruzsa’s conjecture)	1
A note on values of the Dedekind zeta-function at odd positive integers	1
Mean value estimates of gcd and lcm-sums	1
Images of Galois representations in mod p Hecke algebras	1
Zero-free regions for spectral averages of Hecke L-functions	1
On factorizations into coprime parts	1
On odd ranks of odd Durfee symbols	1
The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields	1
Lacunary eta quotients with identically vanishing coefficients	1
Bolytrope orders	1
Integer dynamics	1
Refinement of some partition identities of Merca and Yee	1
On length of the period of the continued fraction of nd	1
On a problem on restricted k-colored partitions	1
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	1
Exceptional sets related to the largest digits in Lüroth expansions	1
Deformations of certain reducible Galois representations III	1
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
There are no Diophantine quadruples of Pell numbers	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
Minimal degrees of algebraic numbers with respect to primitive elements	1
On approximation by random Lüroth expansions	1
Analogue of Ramanujan’s function k(τ) for the cubic continued fraction	1
On an extension of a question of Baker	1
Shimura lifts of certain classes of modular forms of half-integral weight	1
Cesàro averages for Goldbach representations with summands in arithmetic progressions	1
On members of Lucas sequences which are products of Catalan numbers	1
On triangulable tensor products of B-pairs and trianguline representations	1
Explicit upper bound on the least primitive root modulo p2	1
A Series Associated to Rankin-Selberg L-Function and Modified K-Bessel Function	1
A note on prime number races and zero free regions for L functions	1
Modularity of Nahm sums for the tadpole diagram	1
Detailed asymptotic expansions for partitions into powers	1
Convergence of improper Iwasawa continued fractions	1
The number of representations of squares by integral quaternary quadratic forms	1
Partial factorizations of products of binomial coefficients	1
Rational periodic points of xd + c and Fermat–Catalan equations	1
Newly reducible polynomial iterates	1
Theta series for quadratic forms of signature (n − 1,1) with (spherical) polynomials	1
A Khintchine-type theorem for affine subspaces	1
On a congruence involving harmonic series and Bernoulli numbers	1
Some remarks on the Erdős Distinct subset sums problem	1
Misiurewicz polynomials and dynamical units, part I	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform	1
Algebraic independence results for colored multizeta values in characteristic p	1
Explicit Burgess bound for composite moduli	1
Equal sums of two cubes of quadratic forms	1
On the solvability of the simultaneous Pell equations x2 − ay2 = 1 and y2 − bz2 = v12	1
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	1
A note on Dedekind zeta values at 1/2	1
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	1
Three pairs of congruences concerning sums of central binomial coefficients	1
The generalized Catalan equation in positive characteristic	1
Explicit small image theorems for residual modular representations	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
Divisibility and distribution of mex-related integer partitions of Andrews and Newman	1
Divisibility of reduction in groups of rational numbers II	1
Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties	1
Hida theory for special orders	1
On restricted divisor sums associated to the Chowla–Walum conjecture	1

The minimal odd excludant and Euler’s partition theorem	1
Explicit classification of isogeny graphs of rational elliptic curves	1
Relative convergence speed of Lüroth expansions and Hausdorff dimension	1
Combinatorics of two second-order mock theta functions	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Galois groups of n 0 + n 1 X + ⋯ + n 6 X6	1
On a sum involving small arithmetic functions	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Convolutions on the complex torus	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	0
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	0
Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows	0
Near-squares in binary recurrence sequences	0
The ?-primary uniform boundedness conjecture for Drinfeld modules	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
On some discrete mean values of higher derivatives of Hardy’s Z-function	0
On central L-values and the growth of the 3-part of the Tate–Shafarevich group	0
On the analytic strong multiplicity one for SL(2)	0
Locally cyclic extensions with Galois group GL2(p)	0
Jensen polynomials for holomorphic functions	0
An explicit lifting construction of CAP forms on O(1,5)	0
Twisted moments of GL(3) ×GL(2) L-functions	0
Mertens’ theorem for Chebotarev sets	0
A shifted Mahler measure identity for Boyd’s family	0
Metrical properties for functions of consecutive multiple partial quotients in continued fractions	0
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	0
Torsion of elliptic curves in the compositum of Dihedral fields	0
Fourier coefficients of cusp forms on special sequences	0
On an elliptic curve involving pairs of triangles and special quadrilaterals	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	0
A function related to the Mordell–Weil rank of elliptic curves	0
Primes in denominators of algebraic numbers	0
Ternary quadratic forms representing the same integers	0
Weil polynomials of abelian varieties over finite fields with many rational points	0
On the k-resultant modulus set problem on varieties over finite fields	0
Rational points on x3 + x2y2 + y3 = k	0
GL(2) Weyl bound via a multiplicative character delta method	0
Poles of triple product L-functions involving monomial representations	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
On classification of sequences containing arbitrarily long arithmetic progressions	0
Multi-partition analogue of q-binomial coefficients	0
Odd values of partition functions related to binary quadratic forms	0
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds	0
A note on the size of iterated sumsets in ℤd	0
Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i)	0
Paramodular groups and theta series	0
On some estimates involving Fourier coefficients of Maass cusp forms	0
Local densities of diagonal integral ternary quadratic forms at odd primes	0
A polynomial method for proving congruences of pω(n,m) and pν(n,m)	0
On 5ψ5 identities of Bailey	0
Deformations of reducible Galois representations to Hida-families	0
Functional equation of Mordell–Tornheim multiple zeta function	0
Dirichlet series associated to sum-of-digits functions	0
Almost prime triples and Chen’s theorem	0
An octic diophantine equation and related families of elliptic curves	0
A conjecture of Hegyvári	0
Zeros of a binomial combination of Chebyshev polynomials	0
On the superspecial loci of orthogonal type Shimura varieties	0
A conjectural refinement of strong multiplicity one for GL(n)	0
Galois Deformation Rings and Modularity in the Residually Reducible Case	0
Hecke operators on Hilbert–Siegel theta series	0
The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions	0
Singmaster-type results for Stirling numbers and some related diophantine equations	0
On sums of gcd-sum functions	0
On irrationality criteria for the Ramanujan summation of certain series	0
Finite sequences of integers expressible as sums of two squares	0
Internal congruences modulo powers of 5, 7 and 13 for certain partition functions	0
The transcendence of growth constants associated with polynomial recursions	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Near-miss identities and spinor genus classification of ternary quadratic forms with congruence conditions	0
Relations of multiple t-values of general level	0
On the d-representation of integers	0
Fourier coefficients and slopes of Drinfeld modular forms	0
A two-parametric family of high rank Mordell curves	0
Conjugacy classes and rational period functions for the Hecke groups	0
A study on anabelian geometry of higher local fields	0
Numbers of the form kf(k)	0
On the Shimura lift modulo 2	0
Limit shapes for unimodal sequences	0
Interlacing properties for zeros of a family of modular forms	0
On the parity of the number of (a,b,m)-copartitions of n	0
A p-adic lower bound for a linear form in logarithms	0
Geodesic flows and the mother of all continued fractions	0
Uniformity of quadratic points	0
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	0
Corrigendum to “The discriminant of compositum of algebraic number fields”	0
Hyperelliptic curves with many automorphisms	0
The Effect of the Trace Operator on the Duality of Modular Grids in Genus Zero Levels	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
A Relative Bigness Inequality and Equidistribution Theorem over Function Fields	0
Author index (Volume 18)	0
Rational points on Del Pezzo surfaces of degree four	0
Generalized L-functions related to the Riemann zeta function	0
On values of logarithmic derivative of L-function attached to modular form	0