International Journal of Number Theory

Article	Citations
On classification of sequences containing arbitrarily long arithmetic progressions	17
On some estimates involving Fourier coefficients of Maass cusp forms	12
Interlacing properties for zeros of a family of modular forms	12
Uniform distribution of polynomially-defined additive functions to varying moduli	7
A two-parametric family of high rank Mordell curves	7
Almost prime triples and Chen’s theorem	7
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	7
Numbers of the form kf(k)	5
Bounds for Erdős covering systems in global function fields	5
Explicit formulas of the relation between multiple zeta functions of Arakawa–Kaneko and Euler–Zagier types	5
Some remarks on the Erdős Distinct subset sums problem	5
Distribution of ω(n) over h-free and h-full numbers	5
Product of three primes in large arithmetic progressions	5
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	4
A Dirichlet series related to the error term in the Prime Number Theorem	4
Uniformizer of the false Tate curve extension of ℚp (II)	4
On 5ψ5 identities of Bailey	4
Author index (Volume 18)	4
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	4
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
On the parity of the number of (a,b,m)-copartitions of n	4
Translated sums on special family of quasi-primitive sequences	4
On certain sums of number theory	3
Limit shapes for unimodal sequences	3
Koecher–Maass series and certain kernel function associated to modular forms on the half-space of quaternions	3

The discriminant of a hypersurface in weighted projective space	3
An LLL algorithm with symmetries	3
A note on the twisted degree 6 L -function for Hermitian cusp forms of degree 2	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
Conditional determination of average rank of elliptic curves over function fields	3
A recurrence relation for desingularized multiple zeta functions and its applications	3
On an extension of a question of Baker	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
Multiplier systems for Siegel modular groups	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	3
On the irrationality of certain 2-adic zeta values	3
A further common q -extension of two supercongruences	3
An octic diophantine equation and related families of elliptic curves	3
S-unit equation in two variables and Padé approximations	3
Diophantine approximation with primes from short intervals	3
Representations of large integers as the sum of fractional powers of primes and squares	3
Proof of a conjecture on congruences of the sum of minimal excludants	2
Fourier coefficients of automorphic L-functions	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
Rational points on Del Pezzo surfaces of degree four	2
On fractional sums of the divisor functions	2
The character sums over the set of kth power residues	2
Minimal excludant over partitions into distinct parts	2
Explicit classification of isogeny graphs of rational elliptic curves	2
The Bailey transform and Hecke-type series	2
Effective Erdős–Wintner for Cantor numeration systems via a trailing-window method	2
Averages of coefficients of the decomposable L-function of degree seven	2
Hasse principle violations in twist families of superelliptic curves	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
3-Adic zeros of diagonal forms of odd degree	2
Stability of certain higher degree polynomials	2
On a family of Siegel Poincaré series	2
2-Adic volume of the homogeneous space of a quadratic form	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
A density version of Waring–Goldbach problem	2
On sums of gcd-sum functions	2
Zero-free regions for spectral averages of Hecke L-functions	2
Descent for projective twists of modular curves	2
Regular ternary sums of generalized pentagonal numbers	2
Conjugacy classes and rational period functions for the Hecke groups	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
Bolytrope orders	2
The number of quadratic residue Pythagorean triples	2
Gap widths in the fractional parts of roots	2
Two-torsion subgroups of some modular Jacobians	2
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	2
On the transcendence of special values of Goss L -functions attached to Drinfeld modules	2
On exceptionality of dimension three in terms of lattice angles	2

Eigenform product identities of genus two Siegel modular forms of general congruence level	2
More inequalities for the overpartition function	2
Some separable integer partition classes	2
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	2
Certain infinite products in terms of MacMahon type series	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Matsuda monoids and Artin’s primitive root conjecture	2
Hybrid subconvexity bounds for twists of GL(3)×GL(2)  L -functions	2
Intervals without primes near an iterated linear recurrence sequence	2
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	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
Detailed asymptotic expansions for partitions into powers	2
The generating fields of twisted Kloosterman sums	2
Rational structures on the space of cusp forms on Γ0(N) through the rationality of periods	2
Misiurewicz polynomials and dynamical units, part I	2
Some cases of the unramified Fontaine–Mazur conjecture	1
Correlations of sieve weights and distributions of zeros	1
Eigenspaces of newforms with nontrivial character	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
An explicit version of Chen’s theorem and the linear sieve	1
Author index (Volume 21)	1
A short note on Manin–Mumford	1
Dynatomic Galois groups for a family of quadratic rational maps	1
Algebraic independence results for colored multizeta values in characteristic p	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
New Rogers–Ramanujan-type identities via contour integrals	1
A function related to the Mordell–Weil rank of elliptic curves	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Internal congruences modulo powers of 5, 7 and 13 for certain partition functions	1
On the jth smallest modulus of a covering system with distinct moduli	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Hilbert Poincaré series and kernels for products of L-functions	1
Legendre theorems for certain overpartitions and overpartition pairs	1
The transcendence of growth constants associated with polynomial recursions	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 12<a≤1	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
Counting elements with given trace and norm in étale algebras	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Visual aspects of Gaussian periods and analogues	1
Some identities on Fu–Tang’s partition statistic of partitions with even parts below odd parts	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
New isogenies of elliptic curves over number fields	1
Galois deformation rings and modularity in the residually reducible case	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
On a sumset problem for dilated integer sets	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
Sums of higher divisors of positive definite integral quadratic forms	1
On the absolute convergence of automorphic Dirichlet series	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Rational points on x3 + x2y2 + y3 = k	1
Minimal Degree Liftings of Edwards Curves	1
The number of representations of squares by integral quaternary quadratic forms II	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
The set of limit points for the conjugates of Pisot numbers	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
On the composition of the Euler function and the Dedekind arithmetic function	1
On monogenity of number fields and Galois group	1
Galois groups arising from families with big orthogonal monodromy	1
Some q -supercongruences modulo the product of cyclotomic polynomials	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
Intermediate modular curves with infinitely many quartic points	1
Vanishing coefficients of some new infinite q -products	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
On the sum of a Fibonacci number and a prime	1
Unimodal sequences: From Isaac Newton to June Huh	1
Solubility of additive quartic forms over ℚ2(−1)	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Diversity in rationally parameterized number fields	1
Minimal Mahler measure in cubic number fields	1
On de Rham cohomology of Drinfeld modules of rank 2	1
An Unusual Identity from Ramanujan's Notebooks	1
On convergence exponents of the weighted products of consecutive partial quotients in continued fractions	1
The Effect of the trace operator on the duality of modular grids in genus zero levels	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1

On some discrete mean values of higher derivatives of Hardy’s Z-function	1
Uniformity of quadratic points	1
Algebraic periodic points of transcendental entire functions	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Integer complexity: Stability and self-similarity	1
Variations on a theorem of Capelli	1
A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series	1
Congruences for partial sums of the generating series for 3k k	1
Weighted double character sums with Beatty sequences	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
On some sums involving the integral part function	0
Entanglement of elliptic curves upon base extension	0
Reductions of Galois representations and the theta operator	0
Zeros of period polynomials for symmetric power L -functions	0
Jensen polynomials for holomorphic functions	0
On additive decompositions of primitive elements in finite fields	0
Correlations of the Möbius and Liouville functions with their partial sums	0
Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties	0
Non-vanishing of theta components of Jacobi forms with level and an application	0
On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials	0
On the superspecial loci of orthogonal type Shimura varieties	0
The sum of four squares over real quadratic number fields	0
Strong q -analogues for values of the Dirichlet beta function	0
Toward a generalization of Lehmer’s problem to adelic curves	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Polynomial Pell equations with D(x) = x6 + ax2 + b	0
Congruences for sums of Delannoy numbers and Legendre polynomials	0
Increasing the p -Selmer rank by twisting	0
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	0
Arithmetic properties of 5-regular partitions into distinct parts	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations II	0
Density questions in rings of the form ????K[γ] ∩ K	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Preperiodic points of polynomial dynamical systems over finite fields	0
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
On the index of friability	0
Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
The Barnes–Hurwitz zeta cocycle at s = 0 and Ehrhart quasi-polynomials of triangles	0
Orthogonal Eisenstein series and theta lifts	0
Neighborly partitions and the numerators of Rogers–Ramanujan identities	0
On the Miller basis for the space of cusp forms	0
More Andrews–Beck type congruences by involutions	0
The twisted second moment of L-functions associated to Hecke–Maass forms	0
On the d-representation of integers	0
On average behavior of Hecke eigenvalues over arithmetic progressions	0
Multi-partition analogue of q-binomial coefficients	0
The level of distribution of the sum-of-digits function in arithmetic progressions	0
Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication	0
On the analytic strong multiplicity one for SL(2)	0
Generalized L-functions related to the Riemann zeta function	0
Inequalities for the k-regular overpartition function	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	0
An improved lower bound on the image of the 2-adic character map for the Heisenberg algebra via modular linear differential equations	0
On the Shimura lift modulo 2	0
Arithmetic progressions in polynomial orbits	0
Counting solutions to quadratic polynomials	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
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
A note on logarithmic equidistribution	0
On almost-prime k-tuples	0
Arithmetic density and congruences for Andrews’ integer partitions with even parts below odd parts	0
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height	0
Shintani cones for complex cubic number fields	0
A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function	0
A Beukers-type integral representation for several types of multiple polylogarithms	0
Sum of the GL(3) Fourier coefficients over mixed powers	0
New and simple proofs of Ramanujan’s modular equations of degree 11	0
Squares in arithmetic progression over quadratic extensions of number fields	0
Nonvanishing of Jacobi Poincaré series of half-integral weight	0
Odd values of partition functions related to binary quadratic forms	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
A family of integrals related to values of the Riemann zeta function	0
A p -adic criterion for Lehmer’s conjecture	0
Fourier coefficients of cusp forms on special sequences	0
Fourier coefficients of Jacobi forms of real weights	0
Expressing q-series in terms of building blocks of Hecke-type double-sums	0
Eisenstein series twisted Shintani zeta functions	0
Locally cyclic extensions with Galois group GL2(p)	0
Nonvanishing of second coefficients of Hecke polynomials on the newspace	0
New proofs of the septic Rogers–Ramanujan identities	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
A p-adic lower bound for a linear form in logarithms	0
On the k-resultant modulus set problem on varieties over finite fields	0
Efficient congruencing in ellipsephic sets: the general case	0
On the non-vanishing of Poincaré series on irreducible bounded symmetric domains	0