International Journal of Number Theory

Article	Citations
A q-analogue of the (A.2) supercongruence of Van Hamme for any prime p ≡ 3(mod4)	27
A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)	20
The Ramanujan–Dyson identities and George Beck’s congruence conjectures	18
A new subconvex bound for GL(3) L-functions in the t-aspect	15
On monogenity of certain pure number fields defined by xpr − m	12
Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13	11
Combinatorial proof of the minimal excludant theorem	9
Eight cubes of primes and 204 powers of 2	9
On certain sums of number theory	8
Dimension theory of the product of partial quotients in Lüroth expansions	8
On the sum of parts with multiplicity at least 2 in all the partitions of n	8
On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3	7
Automatic discovery of irrationality proofs and irrationality measures	7
The degree of Kummer extensions of number fields	5
An analogue of a formula for Chebotarev densities	5
On the error term in the explicit formula of Riemann–von Mangoldt	5
Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions	4
Fields generated by finite rank subgroups of ℚ¯∗	4
Product of three primes in large arithmetic progressions	4
Higher-dimensional gap theorems for the maximum metric	4
Restricted k-color partitions, II	4
The polylog quotient and the Goncharov quotient in computational Chabauty–Kim Theory I	4
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	4
The Ru–Vojta result for subvarieties	4
Quadratic residues and quartic residues modulo primes	3

Ranks of overpartitions modulo 4 and 8	3
Mahler coefficients of uniformly differentiable functions modulo p	3
On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(pq) and the 2-part of the class number of ℚ(pq,2 + 2)	3
On weighted overpartitions related to some q-series in Ramanujan’s lost notebook	3
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	3
Conjugates of Pisot numbers	3
Quasimodular forms as solutions of modular differential equations	3
Good’s theorem for Hurwitz continued fractions	3
Oscillations in weighted arithmetic sums	3
Dedekind sums arising from newform Eisenstein series	3
Explicit Kummer theory for the rational numbers	3
A lower bound for the Hausdorff dimension of the set of weighted simultaneously approximable points over manifolds	3
On the sum of fourth powers in arithmetic progression	3
The smallest parts function associated with ω(q)	3
The smallest invariant factor of the multiplicative group	3
Mock modular Eisenstein series with Nebentypus	3
An inequality between finite analogues of rank and crank moments	2
Projective toric codes	2
Minimal excludant over partitions into distinct parts	2
Polynomials and reciprocals of Eisenstein series	2
Additive uniqueness of PRIMES − 1 for multiplicative functions	2
On the divisibility of the rank of appearance of a Lucas sequence	2
2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications	2
A class of maximally singular sets for rational approximation	2
First moment of central values of quadratic Hecke L-functions in the Gaussian field	2
Neighborly partitions and the numerators of Rogers–Ramanujan identities	2
Unramified extensions of quadratic number fields with certain perfect Galois groups	2
Rankin–Cohen brackets of Eisenstein series	2
The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	2
Quadratic points on non-split Cartan modular curves	2
Adelic Voronoï summation and subconvexity for GL(2) L-functions in the depth aspect	2
Cubic function fields with prescribed ramification	2
Relative convergence speed of Lüroth expansions and Hausdorff dimension	2
Recursion formulas for poly-Bernoulli numbers and their applications	2
The sum of a prime and a Fibonacci number	2
Location of the zeros of certain cuspforms	2
On the divisibility among power GCD and power LCM matrices on gcd-closed sets	2
Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields	2
The second moment of Sn(t) on the Riemann hypothesis	2
Towards the Sato–Tate groups of trinomial hyperelliptic curves	2
Non-openness of v-adic Galois representation for A-motives	2
Positive-definite ternary quadratic forms with the same representations over ℤ	2
Shintani cones for complex cubic number fields	2
On the order of magnitude of Sudler products II	2
Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3	2
Metric Diophantine approximation with congruence conditions	2
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II	2
A mock theta function identity related to the partition rank modulo 3 and 9	2
Some further Hecke-type identities	2
Bilateral Ramanujan-like series for 1/πk and their congruences	2

Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞	2
The proportion of genus one curves over ℚ defined by a binary quartic that everywhere locally have a point	2
The Diophantine equation (m2 + n2)x + (2mn)y = (m + n)2z	2
A note on Dedekind zeta values at 1/2	1
Combinatorics of two second-order mock theta functions	1
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	1
Consecutive square-free numbers and square-free primitive roots	1
kth powers in Piatetski-Shapiro sequences	1
Constructing totally p-adic numbers of small height	1
The mean number of divisors for rough, dense and practical numbers	1
Hida theory for special orders	1
Holonomic relations for modular functions and forms: First guess, then prove	1
On the number of l-regular overpartitions	1
The Pintz–Steiger–Szemerédi estimate for intersective quadratic polynomials in function fields	1
A diophantine equation inspired by Brahmagupta’s identity	1
On fractional sums of the divisor functions	1
On a congruence involving harmonic series and Bernoulli numbers	1
Minimal degrees of algebraic numbers with respect to primitive elements	1
Mean value theorems for a class of density-like arithmetic functions	1
A note on values of the Dedekind zeta-function at odd positive integers	1
Integer dynamics	1
On members of Lucas sequences which are products of Catalan numbers	1
Explicit Burgess bound for composite moduli	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
On Hurwitz zeta function and Lommel functions	1
Terms of recurrence sequences in the solution sets of generalized Pell equations	1
Integrality properties in the moduli space of elliptic curves: CM case	1
Computing the Galois group of a polynomial over a p-adic field	1
A semi-canonical reduction for periods of Kontsevich–Zagier	1
A note on weakly prime-additive numbers	1
Congruences of local origin and automorphic induction	1
A higher weight analogue of Ogg’s theorem on Weierstrass points	1
On approximation by random Lüroth expansions	1
Some relations deduced from regularized double shuffle relations of multiple zeta values	1
The probability that ideals in a number ring are k-wise relatively r-prime	1
Convolutions on the complex torus	1
A sum of three nonzero triangular numbers	1
On the solvability of the simultaneous Pell equations x2 − ay2 = 1 and y2 − bz2 = v12	1
A note on prime number races and zero free regions for L functions	1
On abelian covers of the projective line with fixed gonality and many rational points	1
Explicit Weil-pairing for Drinfeld modules	1
Vanishing coefficients in quotients of theta functions with odd moduli	1
On primary pseudo-polynomials (around Ruzsa’s conjecture)	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Left–right pairs and complex forests of infinite rooted binary trees	1
Equal sums of two cubes of quadratic forms	1
Hankel determinants of linear combinations of moments of orthogonal polynomials	1
The large sieve inequality with square moduli for quadratic extensions of function fields	1
Lambert series associated to Hilbert modular form	1
Divisibility of reduction in groups of rational numbers II	1
Computing Shintani domains	1
On a problem on restricted k-colored partitions	1
Modular forms on the double half-plane	1
Note on partitions into polynomials with number of parts in an arithmetic progression	1
Divisibility and distribution of mex-related integer partitions of Andrews and Newman	1
Expected value of the smallest denominator in a random interval of fixed radius	1
The number of representations of squares by integral quaternary quadratic forms	1
Belyi’s Theorems in Positive Characteristic	1
On factorizations into coprime parts	1
Triples of singular moduli with rational product	1
q-Analogues of Guillera’s two series for π±2 with convergence rate 27 64	1
Structural properties of multiple zeta values	1
Supersingular j-invariants and the class number of ℚ(−p)	1
Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform	1
On a conjecture of Lemmermeyer	1
On elliptic curves with complex multiplication and root numbers	1
On restricted divisor sums associated to the Chowla–Walum conjecture	1
Supersingular conjectures for the Fricke group	1
Inequalities for the dth residual crank moments of overpartitions	1
Iterated integrals on products of one variable multiple polylogarithms	1
The translate and line properties for 2-primitive elements in quadratic extensions	1
Further generalizations of some Hecke-type identities	1
On the kth root partition function	1
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	1
Proof of a conjectural congruence of Chan for Appell–Lerch sums	1
k-Diophantine m-tuples in finite fields	1
The generalized Catalan equation in positive characteristic	1
On norm relations for Asai–Flach classes	1
Cesàro averages for Goldbach representations with summands in arithmetic progressions	1
Explicit small image theorems for residual modular representations	1

Some remarks on the Erdős Distinct subset sums problem	1
Orthogonal Eisenstein series and theta lifts	1
On triangulable tensor products of B-pairs and trianguline representations	1
Efficient congruencing in ellipsephic sets: the general case	1
Hankel determinants of sequences related to Bernoulli and Euler polynomials	1
Three pairs of congruences concerning sums of central binomial coefficients	1
Newly reducible polynomial iterates	1
On the sum of a Fibonacci number and a prime	1
On an extension of a question of Baker	1
On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x	1
On some sums involving the integral part function	1
On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function	1
On a family of mild functions	1
Cyclic cubic extensions of ℚ	1
On the l.c.m. of shifted Fibonacci numbers	1
Theta series for quadratic forms of signature (n − 1,1) with (spherical) polynomials	1
A Khintchine-type theorem for affine subspaces	1
Refinement of some partition identities of Merca and Yee	1
Analogues of the Robin–Lagarias criteria for the Riemann hypothesis	1
Analogue of Ramanujan’s function k(τ) for the cubic continued fraction	1
Partial factorizations of products of binomial coefficients	1
Lacunary eta quotients with identically vanishing coefficients	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
On the Rankin–Selberg method for vector-valued Siegel modular forms	1
Chasing after cancellations: Revisiting a classic identity that implies the Rogers–Ramanujan identities	1
Bolytrope orders	1
Deformations of certain reducible Galois representations III	1
A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/2ℤ ⊕ ℤ/2ℤ, ℤ/2ℤ ⊕ ℤ/4ℤ or ℤ/2ℤ ⊕ ℤ/6ℤ	1
Images of Galois representations in mod p Hecke algebras	1
On the λ-stability of p-class groups along cyclic p-towers of a number field	1
The largest size of an (s,s + 1)-core partition with parts of the same parity	1
Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms	1
Numbers of the form kf(k)	0
Author index (Volume 18)	0
Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows	0
Interlacing properties for zeros of a family of modular forms	0
On central L-values and the growth of the 3-part of the Tate–Shafarevich group	0
Metrical properties for functions of consecutive multiple partial quotients in continued fractions	0
Jensen polynomials for holomorphic functions	0
Zero-free regions for spectral averages of Hecke L-functions	0
A note on the size of iterated sumsets in ℤd	0
Local densities of diagonal integral ternary quadratic forms at odd primes	0
On the Shimura lift modulo 2	0
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	0
Twisted moments of GL(3) ×GL(2) L-functions	0
On the intersections of exceptional sets in Borel’s normal number theorem and Erdös–Rényi limit theorem	0
A Dirichlet series related to the error term in the Prime Number Theorem	0
Geodesic flows and the mother of all continued fractions	0
An octic diophantine equation and related families of elliptic curves	0
The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions	0
Zeros of a binomial combination of Chebyshev polynomials	0
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	0
On values of logarithmic derivative of L-function attached to modular form	0
A conjectural refinement of strong multiplicity one for GL(n)	0
Epipelagic Langlands parameters and L-packets for unitary groups	0
Weil polynomials of abelian varieties over finite fields with many rational points	0
On the superspecial loci of orthogonal type Shimura varieties	0
Convergence of improper Iwasawa continued fractions	0
Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i)	0
On the parity of the number of (a,b,m)-copartitions of n	0
A two-parametric family of high rank Mordell curves	0
The local sum conjecture in two dimensions	0
GL(2) Weyl bound via a multiplicative character delta method	0
Symmetry of topographs of Markoff forms	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
Deformations of reducible Galois representations to Hida-families	0
On some discrete mean values of higher derivatives of Hardy’s Z-function	0
On the d-representation of integers	0
Determination of all imaginary cyclic quartic fields of prime class number p ≡ 3(mod4), and non-divisibility of class numbers	0
On minus quotients of ideal class groups of cyclotomic fields	0
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	0
Rational points on Del Pezzo surfaces of degree four	0
Hyperelliptic curves with many automorphisms	0
On the k-resultant modulus set problem on varieties over finite fields	0
The Diophantine equation Fn = P(x)	0
Hecke operators on Hilbert–Siegel theta series	0
On classification of sequences containing arbitrarily long arithmetic progressions	0
On the jth smallest modulus of a covering system with distinct moduli	0
Odd values of partition functions related to binary quadratic forms	0
On 5ψ5 identities of Bailey	0
Conjugacy classes and rational period functions for the Hecke groups	0
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	0
On some estimates involving Fourier coefficients of Maass cusp forms	0
A twisted generalization of the classical Dedekind sum	0
Locally cyclic extensions with Galois group GL2(p)	0
Author index (Volume 16)	0
Mertens’ theorem for Chebotarev sets	0
Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients	0
Dirichlet series associated to sum-of-digits functions	0
A polynomial time test to detect numbers with many exceptional points	0
Ternary quadratic forms representing the same integers	0
On an elliptic curve involving pairs of triangles and special quadrilaterals	0
On a sum involving small arithmetic functions	0
On sums of gcd-sum functions	0
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	0