International Journal of Number Theory

Article	Citations
On classification of sequences containing arbitrarily long arithmetic progressions	13
On some estimates involving Fourier coefficients of Maass cusp forms	12
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	7
Interlacing properties for zeros of a family of modular forms	7
A two-parametric family of high rank Mordell curves	7
Distribution of ω(n) over h-free and h-full numbers	6
Uniform distribution of polynomially-defined additive functions to varying moduli	6
Almost prime triples and Chen’s theorem	5
Bounds for Erdős covering systems in global function fields	5
On 5ψ5 identities of Bailey	5
Corrigendum to “The discriminant of compositum of algebraic number fields”	5
Numbers of the form kf(k)	5
Some remarks on the Erdős Distinct subset sums problem	4
On the asymptotics of Kempner–Irwin sums	4
Translated sums on special family of quasi-primitive sequences	4
Product of three primes in large arithmetic progressions	4
On the parity of the number of (a,b,m)-copartitions of n	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
Explicit formulas of the relation between multiple zeta functions of Arakawa–Kaneko and Euler–Zagier types	4
Author index (Volume 18)	4
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	4
Uniformizer of the false Tate curve extension of ℚp (II)	4
A further common q -extension of two supercongruences	3
Koecher–Maass series and certain kernel function associated to modular forms on the half-space of quaternions	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
Lattice points on a curve via ℓ2 decoupling	3
S-unit equation in two variables and Padé approximations	3
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
On the irrationality of certain 2-adic zeta values	3
Metric Diophantine approximation on planar and Veronese curves	3
Erratum: Critical points of the Eisenstein series for the Fricke group of level 2	3
Diophantine approximation with primes from short intervals	3
An explicit non-Poissonian pair correlation function	3
Conditional determination of average rank of elliptic curves over function fields	3
Limit shapes for unimodal sequences	3
On size of polynomial orbits in many variables over some domains	3
An LLL algorithm with symmetries	3
A note on the twisted degree 6 L -function for Hermitian cusp forms of degree 2	3
The discriminant of a hypersurface in weighted projective space	3
A recurrence relation for desingularized multiple zeta functions and its applications	3
On exceptionality of dimension three in terms of lattice angles	2
Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
Uniformity of quadratic points	2
Matsuda monoids and Artin’s primitive root conjecture	2
Regular ternary sums of generalized pentagonal numbers	2
Explicit classification of isogeny graphs of rational elliptic curves	2
Hybrid subconvexity bounds for twists of GL(3)×GL(2)  L -functions	2
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	2
The number of quadratic residue Pythagorean triples	2
More inequalities for the overpartition function	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Hasse principle violations in twist families of superelliptic curves	2
Two-torsion subgroups of some modular Jacobians	2
Stability of certain higher degree polynomials	2
Fourier coefficients of automorphic L-functions	2
Decomposition of real numbers into sums of Lüroth sets	2
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	2
The character sums over the set of kth power residues	2
Misiurewicz polynomials and dynamical units, part I	2
Averages of coefficients of the decomposable L-function of degree seven	2
3-Adic zeros of diagonal forms of odd degree	2
Some separable integer partition classes	2
On a family of Siegel Poincaré series	2
Bolytrope orders	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
Effective Erdős–Wintner for Cantor numeration systems via a trailing-window method	2
2-Adic volume of the homogeneous space of a quadratic form	2
Inner twists for Siegel modular forms and the images of associated Galois representations	2
Detailed asymptotic expansions for partitions into powers	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Multiplier systems for Siegel modular groups	2

2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	2
On sums of gcd-sum functions	2
Descent for projective twists of modular curves	2
Exact approximation in the field of formal power series	2
The Bailey transform and Hecke-type series	2
Gap widths in the fractional parts of roots	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
The generating fields of twisted Kloosterman sums	2
A density version of Waring–Goldbach problem	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
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
On the transcendence of special values of Goss L -functions attached to Drinfeld modules	2
Rational structures on the space of cusp forms on Γ0(N) through the rationality of periods	2
Algebraic periodic points of transcendental entire functions	1
Legendre theorems for certain overpartitions and overpartition pairs	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
The transcendence of growth constants associated with polynomial recursions	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series	1
Integer complexity: Stability and self-similarity	1
Variations on a theorem of Capelli	1
On monogenity of number fields and Galois group	1
Congruences for partial sums of the generating series for 3k k	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Eigenspaces of newforms with nontrivial character	1
New isogenies of elliptic curves over number fields	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
Algebraic independence results for colored multizeta values in characteristic p	1
On convergence exponents of the weighted products of consecutive partial quotients in continued fractions	1
Sums of higher divisors of positive definite integral quadratic forms	1
Diversity in rationally parameterized number fields	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Metric number theory of Fourier coefficients of Hilbert modular forms	1
A function related to the Mordell–Weil rank of elliptic curves	1
On the second moment of Fourier coefficients of symmetric power L-function	1
The Effect of the trace operator on the duality of modular grids in genus zero levels	1
On fractional sums of the divisor functions	1
Galois deformation rings and modularity in the residually reducible case	1
Certain infinite products in terms of MacMahon type series	1
The set of limit points for the conjugates of Pisot numbers	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Gaps in binary cyclotomic polynomials	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
Some identities on Fu–Tang’s partition statistic of partitions with even parts below odd parts	1
Some q -supercongruences modulo the product of cyclotomic polynomials	1
Visual aspects of Gaussian periods and analogues	1
Intermediate modular curves with infinitely many quartic points	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
Solubility of additive quartic forms over ℚ2(−1)	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Unimodal sequences: From Isaac Newton to June Huh	1
Two-color partitions with evens in one color	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Author index (Volume 21)	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
On de Rham cohomology of Drinfeld modules of rank 2	1
On the composition of the Euler function and the Dedekind arithmetic function	1
Greedy expansions for families of Salem numbers	1
On the absolute convergence of automorphic Dirichlet series	1
Hilbert Poincaré series and kernels for products of L-functions	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	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
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Counting elements with given trace and norm in étale algebras	1
On the sum of a Fibonacci number and a prime	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	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
Vanishing coefficients of some new infinite q -products	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 12<a≤1	1
Some cases of the unramified Fontaine–Mazur conjecture	1

An explicit version of Chen’s theorem and the linear sieve	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
On a sumset problem for dilated integer sets	1
Dynatomic Galois groups for a family of quadratic rational maps	1
Corrigendum: Algorithms for determination of t-module structures on some extension groups	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
New Rogers–Ramanujan-type identities via contour integrals	1
Conjugacy classes and rational period functions for the Hecke groups	1
An unusual identity from Ramanujan’s notebooks	1
Rational points on x3 + x2y2 + y3 = k	1
Zero-free regions for spectral averages of Hecke L-functions	1
The number of representations of squares by integral quaternary quadratic forms II	1
Minimal degree liftings of Edwards curves	1
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	0
A p-adic lower bound for a linear form in logarithms	0
Congruences for sums of Delannoy numbers and Legendre polynomials	0
Locally cyclic extensions with Galois group GL2(p)	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Preperiodic points of polynomial dynamical systems over finite fields	0
Toward a generalization of Lehmer’s problem to adelic curves	0
On the superspecial loci of orthogonal type Shimura varieties	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	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
Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers	0
On the index of friability	0
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
A Beukers-type integral representation for several types of multiple polylogarithms	0
Inequalities for the k-regular overpartition function	0
On additive decompositions of primitive elements in finite fields	0
On average behavior of Hecke eigenvalues over arithmetic progressions	0
Counting w -coprime S -integers and S -integral ideals in p	0
Corrigendum to “Two-color partitions with evens in one color”	0
On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials	0
Nonvanishing of Jacobi Poincaré series of half-integral weight	0
Families of identities involving universal mock theta functions	0
Zeros of period polynomials for symmetric power L -functions	0
On the d-representation of integers	0
Continued fractions and the modular ray on a Berkovich space	0
Increasing the p -Selmer rank by twisting	0
Arithmetic properties of 5-regular partitions into distinct parts	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
New proofs of the septic Rogers–Ramanujan identities	0
Density questions in rings of the form ????K[γ] ∩ K	0
Polynomial Pell equations with D(x) = x6 + ax2 + b	0
On the k-resultant modulus set problem on varieties over finite fields	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations II	0
Counting solutions to quadratic polynomials	0
Odd values of partition functions related to binary quadratic forms	0
Arithmetic density and congruences for Andrews’ integer partitions with even parts below odd parts	0
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height	0
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
The level of distribution of the sum-of-digits function in arithmetic progressions	0
The sum of four squares over real quadratic number fields	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 almost-prime k-tuples	0
Sum of the GL(3) Fourier coefficients over mixed powers	0
Applications of the fibration method to the Brauer–Manin obstruction to the existence of zero-cycles on certain varieties	0
The number of primes not in a numerical semigroup	0
Eisenstein series twisted Shintani zeta functions	0
New and simple proofs of Ramanujan’s modular equations of degree 11	0
On the maximal unramified pro-2-extension of ℤ 2 -extension of certain real biquadratic fields	0
On the limiting distribution of the number of unitary coprime pairs of random integers	0
Multi-partition analogue of q-binomial coefficients	0
Arithmetic progressions in polynomial orbits	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
Generalized L-functions related to the Riemann zeta function	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
A family of integrals related to values of the Riemann zeta function	0
Jensen polynomials for holomorphic functions	0
A note on logarithmic equidistribution	0
Fourier coefficients of Jacobi forms of real weights	0
Strong q -analogues for values of the Dirichlet beta function	0
On some sums involving the integral part function	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
The Barnes–Hurwitz zeta cocycle at s = 0 and Ehrhart quasi-polynomials of triangles	0
Entanglement of elliptic curves upon base extension	0
Weighted double character sums with Beatty sequences	0
Shintani cones for complex cubic number fields	0
A relation between the Mordell–Tornheim multiple Dirichlet series and the confluent hypergeometric function	0
On the Miller basis for the space of cusp forms	0
Refinements of Erdős’s irrationality criterion for certain sparse infinite series	0
The twisted second moment of L-functions associated to Hecke–Maass forms	0
Evaluation of integrals of fine type of level 30	0
Modular construction of p -adic L -functions for real quadratic fields	0
Orthogonal Eisenstein series and theta lifts	0
On the non-vanishing of Poincaré series on irreducible bounded symmetric domains	0
Expressing q-series in terms of building blocks of Hecke-type double-sums	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
Zeros of Hecke polynomials arising from weak eigenforms	0
Fourier coefficients of cusp forms on special sequences	0