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
Interlacing properties for zeros of a family of modular forms	10
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	6
Product of three primes in large arithmetic progressions	5
A two-parametric family of high rank Mordell curves	5
Geodesic flows and the mother of all continued fractions	5
Uniform distribution of polynomially-defined additive functions to varying moduli	5
Some remarks on the Erdős Distinct subset sums problem	5
Almost prime triples and Chen’s theorem	5
Distribution of ω(n) over h-free and h-full numbers	5
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
Numbers of the form kf(k)	4
On 5ψ5 identities of Bailey	4
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	4
On certain sums of number theory	3
Uniformizer of the false Tate curve extension of ℚp (II)	3
Translated sums on special family of quasi-primitive sequences	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
Author index (Volume 18)	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

Conditional determination of average rank of elliptic curves over function fields	3
The discriminant of a hypersurface in weighted projective space	3
A further common q-extension of two supercongruences	3
On an elliptic curve involving pairs of triangles and special quadrilaterals	3
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	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
Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of ℙ????q1 and one-level densities	3
An LLL algorithm with symmetries	2
S-unit equation in two variables and Padé approximations	2
Averages of coefficients of the decomposable L-function of degree seven	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
Uniformity of quadratic points	2
3-Adic zeros of diagonal forms of odd degree	2
Exceptional sets related to the largest digits in Lüroth expansions	2
Ramanujan continued fractions of order sixteen	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	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
Lambert series associated to Hilbert modular form	2
Hybrid subconvexity bounds for twists of GL(3)×GL(2)  L -functions	2
2-Adic volume of the homogeneous space of a quadratic form	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Fourier coefficients of automorphic L-functions	2
Bolytrope orders	2
A note on Dedekind zeta values at 1/2	2
On an extension of a question of Baker	2
A density version of Waring–Goldbach problem	2
Matsuda monoids and Artin’s primitive root conjecture	2
Rational points on Del Pezzo surfaces of degree four	2
Gap widths in the fractional parts of roots	2
kth powers in Piatetski-Shapiro sequences	2
Some separable integer partition classes	2
Hasse principle violations in twist families of superelliptic curves	2
Regular ternary sums of generalized pentagonal numbers	2
Minimal excludant over partitions into distinct parts	2
Stability of certain higher degree polynomials	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
The generating fields of twisted Kloosterman sums	2
Representations of large integers as the sum of fractional powers of primes and squares	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
Detailed asymptotic expansions for partitions into powers	2
The Bailey transform and Hecke-type series	2
On the jth smallest modulus of a covering system with distinct moduli	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
Double and triple character sums and gaps between the elements of subgroups of finite fields	2

The number of quadratic residue Pythagorean triples	2
On a family of Siegel Poincaré series	2
Two-torsion subgroups of some modular Jacobians	2
Explicit classification of isogeny graphs of rational elliptic curves	2
Multiplier systems for Siegel modular groups	2
Misiurewicz polynomials and dynamical units, part I	2
On exceptionality of dimension three in terms of lattice angles	2
More inequalities for the overpartition function	2
Some cases of the unramified Fontaine–Mazur conjecture	1
Unimodal sequences: From Isaac Newton to June Huh	1
On monogenity of number fields and Galois group	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
On the absolute convergence of automorphic Dirichlet series	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Zero-free regions for spectral averages of Hecke L-functions	1
A short note on Manin–Mumford	1
Descent for projective twists of modular curves	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
On the second moment of Fourier coefficients of symmetric power L-function	1
An explicit version of Chen’s theorem and the linear sieve	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Variations on a theorem of Capelli	1
Algebraic independence results for colored multizeta values in characteristic p	1
Visual aspects of Gaussian periods and analogues	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
Counting elements with given trace and norm in étale algebras	1
Eigenspaces of newforms with nontrivial character	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Non-random behavior in sums of modular symbols	1
Galois groups arising from families with big orthogonal monodromy	1
On the properties of Northcott and Narkiewicz for elliptic curves	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
Some q-supercongruences modulo the product of cyclotomic polynomials	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
The large sieve with power moduli in imaginary quadratic number fields	1
Conjugacy classes and rational period functions for the Hecke groups	1
Correlations of sieve weights and distributions of zeros	1
Legendre theorems for certain overpartitions and overpartition pairs	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
Explicit small image theorems for residual modular representations	1
Diversity in rationally parameterized number fields	1
Some identities on Fu-Tang's partition statistic of partitions with even parts below odd parts	1
Congruences for partial sums of the generating series for 3k k	1
The transcendence of growth constants associated with polynomial recursions	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Minimal Mahler measure in cubic number fields	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 1 2 < a ≤ 1	1
On fractional sums of the divisor functions	1
On the sum of a Fibonacci number and a prime	1
The character sums over the set of kth power residues	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
On a sumset problem for dilated integer sets	1
Algebraic periodic points of transcendental entire functions	1
New isogenies of elliptic curves over number fields	1
Author index (Volume 21)	1
Galois groups of n 0 + n 1 X + ⋯ + n 6 X6	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
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
Remarks on the rightmost critical value of the triple product L-function	0
On the solutions of some Lebesgue-Ramanujan-Nagell type equations II	0
New proofs of the septic Rogers–Ramanujan identities	0

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