International Journal of Number Theory

Article	Citations
On classification of sequences containing arbitrarily long arithmetic progressions	14
On some estimates involving Fourier coefficients of Maass cusp forms	12
Interlacing properties for zeros of a family of modular forms	10
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	7
Some remarks on the Erdős Distinct subset sums problem	6
Numbers of the form kf(k)	5
On the parity of the number of (a,b,m)-copartitions of n	5
A two-parametric family of high rank Mordell curves	5
Almost prime triples and Chen’s theorem	5
Product of three primes in large arithmetic progressions	5
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	5
Uniform distribution of polynomially-defined additive functions to varying moduli	5
Uniformizer of the false Tate curve extension of ℚp (II)	4
Author index (Volume 18)	4
A Dirichlet series related to the error term in the Prime Number Theorem	4
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
On 5ψ5 identities of Bailey	4
On an elliptic curve involving pairs of triangles and special quadrilaterals	4
Distribution of ω(n) over h-free and h-full numbers	4
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3
On certain sums of number theory	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	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
Conditional determination of average rank of elliptic curves over function fields	3
Translated sums on special family of quasi-primitive sequences	3

A further common q-extension of two supercongruences	3
Limit shapes for unimodal sequences	3
Lattice points on a curve via ℓ2 decoupling	3
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
An octic diophantine equation and related families of elliptic curves	3
On the irrationality of certain 2-adic zeta values	3
The discriminant of a hypersurface in weighted projective space	3
On an extension of a question of Baker	3
Some separable integer partition classes	2
Gap widths in the fractional parts of roots	2
Regular ternary sums of generalized pentagonal numbers	2
Explicit classification of isogeny graphs of rational elliptic curves	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
Hasse principle violations in twist families of superelliptic curves	2
Two-torsion subgroups of some modular Jacobians	2
A further generalization of sums of higher derivatives of the Riemann zeta function	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
Fourier coefficients of automorphic L-functions	2
A note on Dedekind zeta values at 1/2	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
The Bailey transform and Hecke-type series	2
The character sums over the set of kth power residues	2
On the jth smallest modulus of a covering system with distinct moduli	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
On sums of gcd-sum functions	2
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	2
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	2
A density version of Waring–Goldbach problem	2
The number of quadratic residue Pythagorean triples	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Misiurewicz polynomials and dynamical units, part I	2
More inequalities for the overpartition function	2
2-Adic volume of the homogeneous space of a quadratic form	2
The generating fields of twisted Kloosterman sums	2
Multiplier systems for Siegel modular groups	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
Detailed asymptotic expansions for partitions into powers	2
Minimal excludant over partitions into distinct parts	2
Descent for projective twists of modular curves	2
kth powers in Piatetski-Shapiro sequences	2
Uniformity of quadratic points	2
Lambert series associated to Hilbert modular form	2
On a family of Siegel Poincaré series	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
3-Adic zeros of diagonal forms of odd degree	2
Averages of coefficients of the decomposable L-function of degree seven	2
Exceptional sets related to the largest digits in Lüroth expansions	2
Stability of certain higher degree polynomials	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
Bolytrope orders	2

On exceptionality of dimension three in terms of lattice angles	2
An LLL algorithm with symmetries	2
S-unit equation in two variables and Padé approximations	2
Representations of large integers as the sum of fractional powers of primes and squares	2
Hybrid subconvexity bounds for twists of GL(3)×GL(2)  L -functions	2
Matsuda monoids and Artin’s primitive root conjecture	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Rational points on Del Pezzo surfaces of degree four	2
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Variations on a theorem of Capelli	1
Algebraic periodic points of transcendental entire functions	1
New isogenies of elliptic curves over number fields	1
On the error term in the explicit formula of Riemann–von Mangoldt	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
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
Legendre theorems for certain overpartitions and overpartition pairs	1
Congruences for partial sums of the generating series for 3k k	1
Galois groups arising from families with big orthogonal monodromy	1
Minimal Mahler measure in cubic number fields	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
On the sum of a Fibonacci number and a prime	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 1 2 < a ≤ 1	1
Zero-free regions for spectral averages of Hecke L-functions	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Sums of higher divisors of positive definite integral quadratic forms	1
On a sumset problem for dilated integer sets	1
An explicit version of Chen’s theorem and the linear sieve	1
Visual aspects of Gaussian periods and analogues	1
Author index (Volume 21)	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Counting elements with given trace and norm in étale algebras	1
Eigenspaces of newforms with nontrivial character	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
The transcendence of growth constants associated with polynomial recursions	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
Certain infinite products in terms of MacMahon type series	1
The large sieve with power moduli in imaginary quadratic number fields	1
Conjugacy classes and rational period functions for the Hecke groups	1
Some identities on Fu–Tang’s partition statistic of partitions with even parts below odd parts	1
Solubility of Additive Quartic Forms over ℚ2(−1)	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Dynatomic Galois groups for a family of quadratic rational maps	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
On the absolute convergence of automorphic Dirichlet series	1
Some cases of the unramified Fontaine–Mazur conjecture	1
Algebraic independence results for colored multizeta values in characteristic p	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Unimodal sequences: From Isaac Newton to June Huh	1
Diversity in rationally parameterized number fields	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Correlations of sieve weights and distributions of zeros	1
Some q-supercongruences modulo the product of cyclotomic polynomials	1
On fractional sums of the divisor functions	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
On monogenity of number fields and Galois group	1
A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series	1
A short note on Manin–Mumford	1
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Generalizations of mock theta functions	0
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	0
Dense clusters of zeros near the zero-free region of ζ(s)	0
A p-adic lower bound for a linear form in logarithms	0

Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
Arithmetic progressions in polynomial orbits	0
On a result of Koecher concerning Markov–Apéry-type formulas for the Riemann zeta function	0
Some new Andrews–Beck-type congruences for k -colored partitions	0
Strong q -analogues for values of the Dirichlet beta function	0
On almost-prime k-tuples	0
Elliptic curves with few bad primes	0
Sums of coefficients of the associated Dirichlet series for triple product L-functions in the level aspect	0
Nonvanishing of Jacobi Poincaré series of half-integral weight	0
Triple correlations of ternary divisor functions. II	0
Rational spherical triangles	0
Reductions of Galois representations and the theta operator	0
Supersingular conjectures for the Fricke group	0
Sum of the GL(3) Fourier coefficients over mixed powers	0
Weighted double character sums with Beatty sequences	0
Ternary quadratic forms representing the same integers	0
Critical points of the Eisenstein series for the Fricke group of level 2	0
Preperiodic points of polynomial dynamical systems over finite fields	0
Odd values of partition functions related to binary quadratic forms	0
Fourier coefficients of Jacobi forms of real weights	0
On the Shimura lift modulo 2	0
Density questions in rings of the form ????K[γ] ∩ K	0
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
On the superspecial loci of orthogonal type Shimura varieties	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
Efficient congruencing in ellipsephic sets: the general case	0
New proofs of the septic Rogers–Ramanujan identities	0
On a polynomial involving roots of unity and its applications	0
Increasing the p -Selmer rank by twisting	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	0
Absolute zeta functions arising from ceiling and floor Puiseux polynomials	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations II	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
A smooth version of Landau’s explicit formula	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Entanglement of elliptic curves upon base extension	0
Counting solutions to quadratic polynomials	0
Periodic sign changes for weakly holomorphic η-quotients	0
Inhomogeneous additive equations	0
Arithmetic properties of 5-regular partitions into distinct parts	0
On the divisibility of 7-elongated plane partition diamonds by powers of 8	0
Sums of singular series along arithmetic progressions and with smooth weights	0
The level of distribution of the sum-of-digits function in arithmetic progressions	0
Expected value of the smallest denominator in a random interval of fixed radius	0
Neighborly partitions and the numerators of Rogers–Ramanujan identities	0
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	0
Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion	0
Arithmetic progressions in squarefull numbers	0
On some sums involving the integral part function	0
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	0
On a local property of infinite Galois extensions implying the Northcott property	0
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
Multi-partition analogue of q-binomial coefficients	0
Inequalities for the k-regular overpartition function	0
On the k-resultant modulus set problem on varieties over finite fields	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
Generalized L-functions related to the Riemann zeta function	0
A family of integrals related to values of the Riemann zeta function	0
An improved lower bound on the image of the 2-adic character map for the Heisenberg algebravia modular linear differential equations	0
Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication	0
Towards a mod-p Lubin–Tate theory for GL2 over totally real fields	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
Solution of Mumford’s second problem on theta functions	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
A study on anabelian geometry of higher local fields	0
Expressing q-series in terms of building blocks of Hecke-type double-sums	0
Class number behavior in a two-tiered tower of ℤp-extensions	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
Orthogonal Eisenstein series and theta lifts	0
On 12-congruences of elliptic curves	0
Cooper–Hirschhorn type identities for three or more squares	0
On the index of friability	0
On ∞-adic and v-adic multiple zeta functions in positive characteristic	0
Non-vanishing of theta components of Jacobi forms with level and an application	0
Arithmetic density and congruences for Andrews’ integer partitions with even parts below odd parts	0
Shintani cones for complex cubic number fields	0
Fourier coefficients of cusp forms on special sequences	0
A note on logarithmic equidistribution	0
Locally cyclic extensions with Galois group GL2(p)	0
The number of primes not in a numerical semigroup	0
Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers	0
On the d-representation of integers	0
The Barnes–Hurwitz zeta cocycle at s = 0 and Ehrhart quasi-polynomials of triangles	0
The sum of four squares over real quadratic number fields	0
Families of identities involving universal mock theta functions	0
Remarks on the rightmost critical value of the triple product L-function	0
Jensen polynomials for holomorphic functions	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
Nonvanishing of second coefficients of Hecke polynomials on the newspace	0
A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
Galois groups of n 0 + n 1 X + ⋯ + n 6 X6	0
On the non-vanishing of Poincaré series on irreducible bounded symmetric domains	0