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
Distribution of ω(n) over h-free and h-full numbers	7
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	7
Corrigendum to “The discriminant of compositum of algebraic number fields”	5
Product of three primes in large arithmetic progressions	5
Almost prime triples and Chen’s theorem	5
On 5ψ5 identities of Bailey	5
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	5
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	4
Uniformizer of the false Tate curve extension of ℚp (II)	4
Translated sums on special family of quasi-primitive sequences	4
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	4
Some remarks on the Erdős Distinct subset sums problem	4
A Dirichlet series related to the error term in the Prime Number Theorem	4
An octic diophantine equation and related families of elliptic curves	4
Author index (Volume 18)	4
On the parity of the number of (a,b,m)-copartitions of n	4
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	4
An LLL algorithm with symmetries	3

A note on the twisted degree 6 L -function for Hermitian cusp forms of degree 2	3
Representations of large integers as the sum of fractional powers of primes and squares	3
The discriminant of a hypersurface in weighted projective space	3
On certain sums of number theory	3
On the irrationality of certain 2-adic zeta values	3
S-unit equation in two variables and Padé approximations	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
Lattice points on a curve via ℓ2 decoupling	3
Fourier coefficients of automorphic L-functions	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	3
Conditional determination of average rank of elliptic curves over function fields	3
A further common q -extension of two supercongruences	3
On an extension of a question of Baker	3
Diophantine approximation with primes from short intervals	3
Multiplier systems for Siegel modular groups	3
Erratum: Critical points of the Eisenstein series for the Fricke group of level 2	3
Koecher–Maass series and certain kernel function associated to modular forms on the half-space of quaternions	3
Limit shapes for unimodal sequences	3
A recurrence relation for desingularized multiple zeta functions and its applications	3
Zero-free regions for spectral averages of Hecke L-functions	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
Certain infinite products in terms of MacMahon type series	2
The character sums over the set of kth power residues	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Intervals without primes near an iterated linear recurrence sequence	2
Minimal excludant over partitions into distinct parts	2
Misiurewicz polynomials and dynamical units, part I	2
Regular ternary sums of generalized pentagonal numbers	2
Gap widths in the fractional parts of roots	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	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 the transcendence of special values of Goss L -functions attached to Drinfeld modules	2
2-Adic volume of the homogeneous space of a quadratic form	2
A density version of Waring–Goldbach problem	2
More inequalities for the overpartition function	2
The Bailey transform and Hecke-type series	2
Conjugacy classes and rational period functions for the Hecke groups	2
The generating fields of twisted Kloosterman sums	2
Descent for projective twists of modular curves	2
The number of quadratic residue Pythagorean triples	2
On sums of gcd-sum functions	2
Averages of coefficients of the decomposable L-function of degree seven	2
3-Adic zeros of diagonal forms of odd degree	2
Detailed asymptotic expansions for partitions into powers	2
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	2
Stability of certain higher degree polynomials	2
Bolytrope orders	2
Two-torsion subgroups of some modular Jacobians	2
On exceptionality of dimension three in terms of lattice angles	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2

On fractional sums of the divisor functions	2
Hybrid subconvexity bounds for twists of GL(3)×GL(2)  L -functions	2
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	2
Uniformity of quadratic points	2
Matsuda monoids and Artin’s primitive root conjecture	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
Explicit classification of isogeny graphs of rational elliptic curves	2
Some separable integer partition classes	2
On a family of Siegel Poincaré series	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
Hasse principle violations in twist families of superelliptic curves	2
Rational structures on the space of cusp forms on Γ0(N) through the rationality of periods	2
Effective Erdős–Wintner for Cantor numeration systems via a trailing-window method	2
Proof of a conjecture on congruences of the sum of minimal excludants	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
Decomposition of real numbers into sums of Lüroth sets	2
L-function of CM elliptic curves and generalized hypergeometric functions	1
An unusual identity from Ramanujan’s notebooks	1
Vanishing coefficients of some new infinite q -products	1
Rational points on x3 + x2y2 + y3 = k	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
The number of representations of squares by integral quaternary quadratic forms II	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
The transcendence of growth constants associated with polynomial recursions	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	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
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
Some cases of the unramified Fontaine–Mazur conjecture	1
Some identities on Fu–Tang’s partition statistic of partitions with even parts below odd parts	1
Diversity in rationally parameterized number fields	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
Solubility of additive quartic forms over ℚ2(−1)	1
An explicit version of Chen’s theorem and the linear sieve	1
Minimal Mahler measure in cubic number fields	1
Dynatomic Galois groups for a family of quadratic rational maps	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
New Rogers–Ramanujan-type identities via contour integrals	1
Rational points on Del Pezzo surfaces of degree four	1
A function related to the Mordell–Weil rank of elliptic curves	1
On the jth smallest modulus of a covering system with distinct moduli	1
The Effect of the trace operator on the duality of modular grids in genus zero levels	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Correlations of sieve weights and distributions of zeros	1
Intermediate modular curves with infinitely many quartic points	1
The set of limit points for the conjugates of Pisot numbers	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 12<a≤1	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Gaps in Binary Cyclotomic Polynomials	1
Visual aspects of Gaussian periods and analogues	1
Counting elements with given trace and norm in étale algebras	1
Congruences for partial sums of the generating series for 3k k	1
New isogenies of elliptic curves over number fields	1
Legendre theorems for certain overpartitions and overpartition pairs	1
Eigenspaces of newforms with nontrivial character	1
On convergence exponents of the weighted products of consecutive partial quotients in continued fractions	1
Galois deformation rings and modularity in the residually reducible case	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
A short note on Manin–Mumford	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Sums of higher divisors of positive definite integral quadratic forms	1
Author index (Volume 21)	1
On a sumset problem for dilated integer sets	1
On the absolute convergence of automorphic Dirichlet series	1
On monogenity of number fields and Galois group	1
Hilbert Poincaré series and kernels for products of L-functions	1
Minimal degree liftings of Edwards curves	1
Internal congruences modulo powers of 5, 7 and 13 for certain partition functions	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
Metric number theory of Fourier coefficients of Hilbert modular forms	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
On the composition of the Euler function and the Dedekind arithmetic function	1
Some q -supercongruences modulo the product of cyclotomic polynomials	1

Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
On the second moment of Fourier coefficients of symmetric power L-function	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
Galois groups arising from families with big orthogonal monodromy	1
Unimodal sequences: From Isaac Newton to June Huh	1
Two-color partitions with evens in one color	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Algebraic independence results for colored multizeta values in characteristic p	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
On de Rham cohomology of Drinfeld modules of rank 2	1
Fourier coefficients of cusp forms on special sequences	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
Locally cyclic extensions with Galois group GL2(p)	0
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations II	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
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
A family of integrals related to values of the Riemann zeta function	0
Density questions in rings of the form ????K[γ] ∩ K	0
New proofs of the septic Rogers–Ramanujan identities	0
A note on logarithmic equidistribution	0
Counting solutions to quadratic polynomials	0
Weighted double character sums with Beatty sequences	0
Polynomial Pell equations with D(x) = x6 + ax2 + b	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
Arithmetic density and congruences for Andrews’ integer partitions with even parts below odd parts	0
Entanglement of elliptic curves upon base extension	0
A study on anabelian geometry of higher local fields	0
The sum of four squares over real quadratic number fields	0
Jensen polynomials for holomorphic functions	0
On additive decompositions of primitive elements in finite fields	0
Neighborly partitions and the numerators of Rogers–Ramanujan identities	0
Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties	0
Twisted Malle’s conjecture	0
Eisenstein series twisted Shintani zeta functions	0
On the superspecial loci of orthogonal type Shimura varieties	0
Zeros of Hecke polynomials arising from weak eigenforms	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Arithmetic properties of 5-regular partitions into distinct parts	0
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	0
Nonvanishing of second coefficients of Hecke polynomials on the newspace	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication	0
A p-adic lower bound for a linear form in logarithms	0
Multi-partition analogue of q-binomial coefficients	0
Fourier coefficients of Jacobi forms of real weights	0
Preperiodic points of polynomial dynamical systems over finite fields	0
Congruences for sums of Delannoy numbers and Legendre polynomials	0
Inequalities for the k-regular overpartition function	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	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
Critical points of the Eisenstein series for the Fricke group of level 2	0
On the Miller basis for the space of cusp forms	0
Modular construction of p-adic L-functions for real quadratic fields	0
The twisted second moment of L-functions associated to Hecke–Maass forms	0
Cooper–Hirschhorn type identities for three or more squares	0
Evaluation of integrals of fine type of level 30	0
Odd values of partition functions related to binary quadratic forms	0
A Beukers-type integral representation for several types of multiple polylogarithms	0
Generalized L-functions related to the Riemann zeta function	0
Nonvanishing of Jacobi Poincaré series of half-integral weight	0
On the Shimura lift modulo 2	0
Arithmetic progressions in polynomial orbits	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Efficient congruencing in ellipsephic sets: the general case	0
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
Strong q -analogues for values of the Dirichlet beta function	0
Reductions of Galois representations and the theta operator	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
On almost-prime k-tuples	0
On some sums involving the integral part function	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
The level of distribution of the sum-of-digits function in arithmetic progressions	0
A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function	0
Zeros of period polynomials for symmetric power L -functions	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
Correlations of the Möbius and Liouville functions with their partial sums	0
On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials	0
On the d-representation of integers	0
Shintani cones for complex cubic number fields	0