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	11
Interlacing properties for zeros of a family of modular forms	8
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	6
Distribution of ω(n) over h-free and h-full numbers	5
On the parity of the number of (a,b,m)-copartitions of n	5
Product of three primes in large 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
Uniform distribution of polynomially-defined additive functions to varying moduli	5
A two-parametric family of high rank Mordell curves	5
Almost prime triples and Chen’s theorem	4
Geodesic flows and the mother of all continued fractions	4
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
Numbers of the form kf(k)	4
On 5ψ5 identities of Bailey	4
Translated sums on special family of quasi-primitive sequences	3
Author index (Volume 18)	3
Uniformizer of the false Tate curve extension of ℚp (II)	3
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
The discriminant of a hypersurface in weighted projective space	3
On certain sums of number theory	3
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3
On an elliptic curve involving pairs of triangles and special quadrilaterals	3
On the irrationality of certain 2-adic zeta values	3

A further common q-extension of two supercongruences	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
A Dirichlet series related to the error term in the Prime Number Theorem	3
An octic diophantine equation and related families of elliptic curves	3
Limit shapes for unimodal sequences	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	3
Lattice points on a curve via ℓ2 decoupling	3
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
Minimal excludant over partitions into distinct parts	2
kth powers in Piatetski-Shapiro sequences	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Representations of large integers as the sum of fractional powers of primes and squares	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
2-Adic volume of the homogeneous space of a quadratic form	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
Gap widths in the fractional parts of roots	2
Explicit classification of isogeny graphs of rational elliptic curves	2
Stability of certain higher degree polynomials	2
The generating fields of twisted Kloosterman sums	2
Exceptional sets related to the largest digits in Lüroth expansions	2
Misiurewicz polynomials and dynamical units, part I	2
Some separable integer partition classes	2
Lambert series associated to Hilbert modular form	2
The Bailey transform and Hecke-type series	2
Two-torsion subgroups of some modular Jacobians	2
On exceptionality of dimension three in terms of lattice angles	2
Multiplier systems for Siegel modular groups	2
S-unit equation in two variables and Padé approximations	2
Regular ternary sums of generalized pentagonal numbers	2
Averages of coefficients of the decomposable L-function of degree seven	2
Ramanujan continued fractions of order sixteen	2
Bolytrope orders	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
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Hybrid subconvexity bounds for twists of GL(3) ×GL(2) L-functions	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Detailed asymptotic expansions for partitions into powers	2
On a family of Siegel Poincaré series	2
A note on Dedekind zeta values at 1/2	2
Fourier coefficients of automorphic L-functions	2
An LLL algorithm with symmetries	2
On an extension of a question of Baker	2
A density version of Waring–Goldbach problem	2
3-adic zeros of diagonal forms of odd degree	2
Hasse principle violations in twist families of superelliptic curves	2
More inequalities for the overpartition function	2

An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
On monogenity of number fields and Galois group	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
Diversity in rationally parameterized number fields	1
Unimodal sequences: From Isaac Newton to June Huh	1
On a sumset problem for dilated integer sets	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Variations on a theorem of Capelli	1
An explicit version of Chen’s theorem and the linear sieve	1
Galois groups arising from families with big orthogonal monodromy	1
Dynatomic Galois groups for a family of quadratic rational maps	1
A short note on Manin–Mumford	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
Minimal Mahler measure in cubic number fields	1
On sums of gcd-sum functions	1
Algebraic periodic points of transcendental entire functions	1
On the sum of a Fibonacci number and a prime	1
On the jth smallest modulus of a covering system with distinct moduli	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
The character sums over the set of kth power residues	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Hyperelliptic curves with many automorphisms	1
Descent for projective twists of modular curves	1
Counting elements with given trace and norm in étale algebras	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Eigenspaces of newforms with nontrivial character	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
Explicit small image theorems for residual modular representations	1
Some cases of the unramified Fontaine–Mazur conjecture	1
n-defective Lehmer pairs for small n: Corrections and clarifications	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
Zero-free regions for spectral averages of Hecke L-functions	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
Upper bounds for shifted moments of Dirichlet L-functions to a fixed modulus over function fields	1
Author index (Volume 17)	1
Rational points on Del Pezzo surfaces of degree four	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
The transcendence of growth constants associated with polynomial recursions	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Conjugacy classes and rational period functions for the Hecke groups	1
Visual aspects of Gaussian periods and analogues	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Legendre theorems for certain overpartitions and overpartition pairs	1
New isogenies of elliptic curves over number fields	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
Algebraic independence results for colored multizeta values in characteristic p	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Non-random behavior in sums of modular symbols	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
On the absolute convergence of automorphic Dirichlet series	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
Congruences for partial sums of the generating series for 3k k	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
Uniformity of quadratic points	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
Matsuda monoids and Artin’s primitive root conjecture	1
The large sieve with power moduli in imaginary quadratic number fields	1
On fractional sums of the divisor functions	1
Periodic sign changes for weakly holomorphic η-quotients	0
Some new Andrews–Beck-type congruences for k-colored partitions	0
On ∞-adic and v-adic multiple zeta functions in positive characteristic	0
Inhomogeneous additive equations	0
Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
Sums of coefficients of the associated Dirichlet series for triple product L-functions in the level aspect	0
Expressing q-series in terms of building blocks of Hecke-type double-sums	0
Fourier coefficients of cusp forms on special sequences	0

Sum of the GL(3) Fourier coefficients over mixed powers	0
A lower bound on the proportion of modular elliptic curves over Galois CM fields	0
Locally cyclic extensions with Galois group GL2(p)	0
Rational spherical triangles	0
Remarks on the rightmost critical value of the triple product L-function	0
A p-adic lower bound for a linear form in logarithms	0
A diophantine equation inspired by Brahmagupta’s identity	0
The largest size of an (s,s+2)-core with the same parity 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
Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts	0
Author index (Volume 20)	0
Twisted moments of GL(3) ×GL(2) L-functions	0
Arithmetic progressions in polynomial orbits	0
Weighted double character sums with Beatty sequences	0
Natural homomorphism of Witt rings of a certain cubic order	0
On the superspecial loci of orthogonal type Shimura varieties	0
Large Pólya groups in simplest cubic fields and consecutive bi-quadratic fields	0
Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height	0
On a polynomial involving roots of unity and its applications	0
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	0
Fourier coefficients of Jacobi forms of real weights	0
Absolute zeta functions arising from ceiling and floor Puiseux polynomials	0
An improved lower bound on the image of the 2-adic character map for the Heisenberg algebravia modular linear differential equations	0
A study on anabelian geometry of higher local fields	0
Class number behavior in a two-tiered tower of ℤp-extensions	0
Entanglement of elliptic curves upon base extension	0
Elliptic curves with few bad primes	0
Hida theory for special orders	0
New proofs of the septic Rogers–Ramanujan identities	0
Triple correlations of ternary divisor functions. II	0
Cooper–Hirschhorn type identities for three or more squares	0
On the solutions of some Lebesgue–Ramanujan–Nagell type equations	0
Congruences for k-elongated plane partition diamonds	0
Non-vanishing of theta components of Jacobi forms with level and an application	0
Orthogonal Eisenstein series and theta lifts	0
On the Diophantine equation σ2(X¯n) = σn(X¯n)	0
Families of identities involving universal mock theta functions	0
On the index of friability	0
On the d-representation of integers	0
On almost-prime k-tuples	0
Ternary quadratic forms representing the same integers	0
Inhomogeneous Diophantine approximation for generic homogeneous functions	0
Reductions of Galois representations and the theta operator	0
Torsion groups of elliptic curves over ℚ(μp∞)	0
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	0
Nonvanishing of Jacobi Poincare series of half-integral weight	0
A note on logarithmic equidistribution	0
Frobenius finds non-monogenic division fields of abelian varieties	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
Arithmetic density and congruences for Andrews' integer partitions with even parts below odd parts	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
Rational approximation and certain exponential sums of Fourier coefficients of cusp forms	0
Towards a mod-p Lubin–Tate theory for GL2 over totally real fields	0
Efficient congruencing in ellipsephic sets: the general case	0
The level of distribution of the sum-of-digits function in arithmetic progressions	0
A smooth version of Landau’s explicit formula	0
Multi-partition analogue of q-binomial coefficients	0
On 12-congruences of elliptic curves	0
Algorithms for determination of T-module structures on some extension groups	0
On the divisibility of 7-elongated plane partition diamonds by powers of 8	0
Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields	0
Non-cyclic torsion of elliptic curves over imaginary quadratic fields of class number 1	0
Dense clusters of zeros near the zero-free region of ζ(s)	0
Odd values of partition functions related to binary quadratic forms	0
Relative convergence speed of Lüroth expansions and Hausdorff dimension	0
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
Neighborly partitions and the numerators of Rogers–Ramanujan identities	0
Preperiodic points of polynomial dynamical systems over finite fields	0
Generalized L-functions related to the Riemann zeta function	0
Arithmetic progressions in squarefull numbers	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Sums of singular series along arithmetic progressions and with smooth weights	0
Inequalities for the k-regular overpartition function	0
On the non-vanishing of Poincaré series on irreducible bounded symmetric domains	0
Density questions in rings of the form ????K[γ] ∩ K	0
On some sums involving the integral part function	0
On approximation by random Lüroth expansions	0
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	0
Arithmetic properties of 5-regular partitions into distinct parts	0
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	0
Consecutive quadratic residues in Beatty sequences	0
Jensen polynomials for holomorphic functions	0
A family of integrals related to values of the Riemann zeta function	0
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	0
Galois groups of n 0 + n 1 X + ⋯ + n 6 X6	0
Increasing the p-Selmer rank by twisting	0
The Barnes–Hurwitz zeta cocycle at s = 0 and Ehrhart quasi-polynomials of triangles	0
Generalizations of mock theta functions	0
On the Shimura lift modulo 2	0
Overconvergent Lubin–Tate (φ,Γ)-modules for different uniformizers	0
Solution of Mumford’s second problem on theta functions	0
Refinement of some partition identities of Merca and Yee	0