International Journal of Number Theory

Article	Citations
A two-parametric family of high rank Mordell curves	13
On the parity of the number of (a,b,m)-copartitions of n	11
On some estimates involving Fourier coefficients of Maass cusp forms	8
Interlacing properties for zeros of a family of modular forms	6
On classification of sequences containing arbitrarily long arithmetic progressions	5
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	5
Some remarks on the Erdős Distinct subset sums problem	5
Product of three primes in large arithmetic progressions	5
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	5
Geodesic flows and the mother of all continued fractions	4
Numbers of the form kf(k)	4
Distribution of ω(n) over h-free and h-full numbers	4
Almost prime triples and Chen’s theorem	4
Uniform distribution of polynomially-defined additive functions to varying moduli	4
On 5ψ5 identities of Bailey	4
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
On certain sums of number theory	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	3
Translated sums on special family of quasi-primitive sequences	3
A Dirichlet series related to the error term in the Prime Number Theorem	3
Corrigendum to “The discriminant of compositum of algebraic number fields”	3
Author index (Volume 18)	3
An octic diophantine equation and related families of elliptic curves	3
The discriminant of a hypersurface in weighted projective space	3
Uniformizer of the false Tate curve extension of ℚp (II)	3

On the irrationality of certain 2-adic zeta values	3
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3
Limit shapes for unimodal sequences	3
Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of ℙ????q1 and one-level densities	3
On an elliptic curve involving pairs of triangles and special quadrilaterals	3
On an extension of a question of Baker	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
Some separable integer partition classes	2
Bolytrope orders	2
On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(−7)	2
On a family of Siegel Poincaré series	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Stability of certain higher degree polynomials	2
Regular ternary sums of generalized pentagonal numbers	2
Fourier coefficients of automorphic L-functions	2
A note on Dedekind zeta values at 1/2	2
S-unit equation in two variables and Padé approximations	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Minimal excludant over partitions into distinct parts	2
Hasse principle violations in twist families of superelliptic curves	2
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
kth powers in Piatetski-Shapiro sequences	2
Hybrid subconvexity bounds for twists of GL(3) ×GL(2) L-functions	2
Two-torsion subgroups of some modular Jacobians	2
Averages of coefficients of the decomposable L-function of degree seven	2
2-Adic volume of the homogeneous space of a quadratic form	2
Misiurewicz polynomials and dynamical units, part I	2
Multiplier systems for Siegel modular groups	2
An LLL algorithm with symmetries	2
Lattice points on a curve via ℓ2 decoupling	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
Lambert series associated to Hilbert modular form	2
Explicit classification of isogeny graphs of rational elliptic curves	2
More inequalities for the overpartition function	2
On exceptionality of dimension three in terms of lattice angles	2
The generating fields of twisted Kloosterman sums	2
Exceptional sets related to the largest digits in Lüroth expansions	2
The Bailey transform and Hecke-type series	2
Detailed asymptotic expansions for partitions into powers	2
A density version of Waring–Goldbach problem	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
Representations of large integers as the sum of fractional powers of primes and squares	2
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Congruences for partial sums of the generating series for 3k k	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1

The Shimura–Shintani correspondence via singular theta lifts and currents	1
New isogenies of elliptic curves over number fields	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
Algebraic periodic points of transcendental entire functions	1
A short note on Manin–Mumford	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Ramanujan continued fractions of order sixteen	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Rational points on Del Pezzo surfaces of degree four	1
The character sums over the set of kth power residues	1
n-defective Lehmer pairs for small n: Corrections and clarifications	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Legendre theorems for certain overpartitions and overpartition pairs	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Counting elements with given trace and norm in étale algebras	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Eigenspaces of newforms with nontrivial character	1
On the sum of a Fibonacci number and a prime	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
The large sieve with power moduli in imaginary quadratic number fields	1
Author index (Volume 17)	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
On the absolute convergence of automorphic Dirichlet series	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
Explicit small image theorems for residual modular representations	1
Dynatomic Galois groups for a family of quadratic rational maps	1
Minimal Mahler measure in cubic number fields	1
Gap widths in the fractional parts of roots	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
Correlations of sieve weights and distributions of zeros	1
On sums of gcd-sum functions	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
On the jth smallest modulus of a covering system with distinct moduli	1
Conjugacy classes and rational period functions for the Hecke groups	1
The transcendence of growth constants associated with polynomial recursions	1
Uniformity of quadratic points	1
Some cases of the unramified Fontaine–Mazur conjecture	1
Visual aspects of Gaussian periods and analogues	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Diversity in rationally parameterized number fields	1
On a sumset problem for dilated integer sets	1
Unimodal sequences: From Isaac Newton to June Huh	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Algebraic independence results for colored multizeta values in characteristic p	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
Descent for projective twists of modular curves	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
3-adic zeros of diagonal forms of odd degree	1
Variations on a theorem of Capelli	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
On fractional sums of the divisor functions	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Matsuda monoids and Artin’s primitive root conjecture	1
Hyperelliptic curves with many automorphisms	1
Zero-free regions for spectral averages of Hecke L-functions	1
Galois groups arising from families with big orthogonal monodromy	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
On monogenity of number fields and Galois group	1
Non-random behavior in sums of modular symbols	1
Preperiodic points of polynomial dynamical systems over finite fields	0
On the index of friability	0
Sums of coefficients of the associated Dirichlet series for triple product L-functions in the level aspect	0
A family of integrals related to values of the Riemann zeta function	0
Generalized L-functions related to the Riemann zeta function	0
Non-vanishing of theta components of Jacobi forms with level and an application	0
Rankin–Cohen brackets of Eisenstein series	0
On the non-vanishing of Poincaré series on irreducible bounded symmetric domains	0
Families of identities involving universal mock theta functions	0
Inequalities for the k-regular overpartition function	0
On the invariants of L-functions of degree 2, I: Twisted degree and internal shift	0

The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Density questions in rings of the form ????K[γ] ∩ K	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
On the k-resultant modulus set problem on varieties over finite fields	0
Expressing q-series in terms of building blocks of Hecke-type double-sums	0
On some sums involving the integral part function	0
Consecutive quadratic residues in Beatty sequences	0
Efficient congruencing in ellipsephic sets: the general case	0
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	0
On 12-congruences of elliptic curves	0
Twisted moments of GL(3) ×GL(2) L-functions	0
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height	0
Towards a mod-p Lubin–Tate theory for GL2 over totally real fields	0
Refinement of some partition identities of Merca and Yee	0
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
Class number behavior in a two-tiered tower of ℤp-extensions	0
Algorithms for determination of T-module structures on some extension groups	0
Arithmetic properties of 5-regular partitions into distinct parts	0
Periodic sign changes for weakly holomorphic η-quotients	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
On the divisibility of 7-elongated plane partition diamonds by powers of 8	0
Inhomogeneous additive equations	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion	0
Mean value estimates of gcd and lcm-sums	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
Fourier coefficients of cusp forms on special sequences	0
Rational spherical triangles	0
Nonvanishing of second coefficients of Hecke polynomials on the newspace	0
Locally cyclic extensions with Galois group GL2(p)	0
Sums of singular series along arithmetic progressions and with smooth weights	0
Rational solutions to the variants of Erdős–Selfridge superelliptic curves	0
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	0
A p-adic lower bound for a linear form in logarithms	0
The level of distribution of the sum-of-digits function in arithmetic progressions	0
Author index (Volume 20)	0
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	0
Jensen polynomials for holomorphic functions	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	0
Reductions of Galois representations and the theta operator	0
Natural homomorphism of Witt rings of a certain cubic order	0
Increasing the p-Selmer rank by twisting	0
The Barnes–Hurwitz zeta cocycle at s = 0 and Ehrhart quasi-polynomials of triangles	0
Galois groups of n 0 + n 1 X + ⋯ + n 6 X6	0
An improved lower bound on the image of the 2-adic character map for the Heisenberg algebravia modular linear differential equations	0
A diophantine equation inspired by Brahmagupta’s identity	0
Generalizations of mock theta functions	0
Entanglement of elliptic curves upon base extension	0
Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers	0
Solution of Mumford’s second problem on theta functions	0
Some new Andrews–Beck-type congruences for k-colored partitions	0
Arithmetic progressions in polynomial orbits	0
Elliptic curves with few bad primes	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Triple correlations of ternary divisor functions. II	0
Sum of the GL(3) Fourier coefficients over mixed powers	0
Orthogonal Eisenstein series and theta lifts	0
Torsion groups of elliptic curves over ℚ(μp∞)	0
Arithmetic progressions in squarefull numbers	0
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Neighborly partitions and the numerators of Rogers–Ramanujan identities	0
On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials	0
On the d-representation of integers	0
Ternary quadratic forms representing the same integers	0
On almost-prime k-tuples	0
p-Adic hypergeometric functions and the trace of Frobenius of elliptic curves	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
A note on logarithmic equidistribution	0
A smooth version of Landau’s explicit formula	0
On the Shimura lift modulo 2	0
Relative convergence speed of Lüroth expansions and Hausdorff dimension	0
Weighted double character sums with Beatty sequences	0
On the superspecial loci of orthogonal type Shimura varieties	0
Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication	0
A study on anabelian geometry of higher local fields	0
Expected value of the smallest denominator in a random interval of fixed radius	0
A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function	0
Fourier coefficients of Jacobi forms of real weights	0
On a polynomial involving roots of unity and its applications	0
Multi-partition analogue of q-binomial coefficients	0
Remarks on the rightmost critical value of the triple product L-function	0
On the order of magnitude of Sudler products II	0
Two families of q-supercongruences modulo the fourth and fifth powers of a cyclotomic polynomial	0
New proofs of the septic Rogers–Ramanujan identities	0
Dense clusters of zeros near the zero-free region of ζ(s)	0
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
On ∞-adic and v-adic multiple zeta functions in positive characteristic	0
Cooper–Hirschhorn type identities for three or more squares	0
Shintani cones for complex cubic number fields	0
Absolute zeta functions arising from ceiling and floor Puiseux polynomials	0
Odd values of partition functions related to binary quadratic forms	0