International Journal of Number Theory

Article	Citations
A two-parametric family of high rank Mordell curves	16
On the parity of the number of (a,b,m)-copartitions of n	16
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
Distribution of ω(n) over h-free and h-full numbers	5
On classification of sequences containing arbitrarily long 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
Almost prime triples and Chen’s theorem	5
Product of three primes in large arithmetic progressions	5
On the irrationality of certain 2-adic zeta values	4
On 5ψ5 identities of Bailey	4
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
Uniform distribution of polynomially-defined additive functions to varying moduli	4
Geodesic flows and the mother of all continued fractions	4
Numbers of the form kf(k)	4
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3
Uniformizer of the false Tate curve extension of ℚp (II)	3
On monogenity of certain pure number fields defined by xpr − m	3
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions	3
Translated sums on special family of quasi-primitive sequences	3
Author index (Volume 18)	3
Further generalizations of some Hecke-type identities	3

Limit shapes for unimodal sequences	3
On certain sums of number theory	3
Constructing totally p-adic numbers of small height	3
On an elliptic curve involving pairs of triangles and special quadrilaterals	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
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	3
The discriminant of a hypersurface in weighted projective space	3
Averages of coefficients of the decomposable L-function of degree seven	2
Regular ternary sums of generalized pentagonal numbers	2
Fourier coefficients of automorphic L-functions	2
Some separable integer partition classes	2
Detailed asymptotic expansions for partitions into powers	2
A sum of three nonzero triangular numbers	2
On exceptionality of dimension three in terms of lattice angles	2
An LLL algorithm with symmetries	2
A note on Dedekind zeta values at 1/2	2
Lattice points on a curve via ℓ2 decoupling	2
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	2
Misiurewicz polynomials and dynamical units, part I	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
Cesàro averages for Goldbach representations with summands in arithmetic progressions	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II	2
Lambert series associated to Hilbert modular form	2
Multiplier systems for Siegel modular groups	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
On an extension of a question of Baker	2
Two-torsion subgroups of some modular Jacobians	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
The Bailey transform and Hecke type series	2
Minimal excludant over partitions into distinct parts	2
Stability of certain higher degree polynomials	2
On multiple Hurwitz zeta function of Mordell–Tornheim type	2
2-Adic volume of the homogeneous space of a quadratic form	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Hankel determinants of sequences related to Bernoulli and Euler polynomials	2
Exceptional sets related to the largest digits in Lüroth expansions	2
Lower order terms for expected value of traces of Frobenius of a family of cyclic covers of ℙ????q1 and one-level densities	2
The Ru–Vojta result for subvarieties	2
S-unit equation in two variables and Padé approximations	2
Representations of large integers as the sum of fractional powers of primes and squares	2
kth powers in Piatetski-Shapiro sequences	2
A density version of Waring–Goldbach problem	2
Author index (Volume 17)	1
The large sieve with power moduli in imaginary quadratic number fields	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1

Rational points on Del Pezzo surfaces of degree four	1
On the sum of a Fibonacci number and a prime	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Descent for projective twists of modular curves	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
On fractional sums of the divisor functions	1
On a sumset problem for dilated integer sets	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
Projective toric codes	1
Hyperelliptic curves with many automorphisms	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
Zero-free regions for spectral averages of Hecke L-functions	1
Congruences for partial sums of the generating series for 3k k	1
An upper bound on the number of classes of perfect unary forms in totally real number fields	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
A short note on Manin–Mumford	1
More inequalities for the overpartition function	1
A function related to the Mordell–Weil rank of elliptic curves	1
Ranks of 1-motives as dimensions of Ext1 vector spaces	1
Explicit classification of isogeny graphs of rational elliptic curves	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Galois groups arising from families with big orthogonal monodromy	1
Diversity in rationally parameterized number fields	1
The generalized Catalan equation in positive characteristic	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Uniformity of quadratic points	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
The transcendence of growth constants associated with polynomial recursions	1
The character sums over the set of kth power residues	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Visual aspects of Gaussian periods and analogues	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
Eigenspaces of newforms with nontrivial character	1
On a basic mean value theorem with explicit exponents	1
Algebraic independence results for colored multizeta values in characteristic p	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Algebraic periodic points of transcendental entire functions	1
Variations on a theorem of Capelli	1
Sums of higher divisors of positive definite integral quadratic forms	1
On a family of Siegel Poincaré series	1
Dynatomic Galois groups for a family of quadratic rational maps	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
The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture	1
On de Rham cohomology of Drinfeld modules of rank 2	1
Minimal Mahler measure in cubic number fields	1
Legendre theorems for certain overpartitions and overpartition pairs	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
On sums of gcd-sum functions	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Non-random behavior in sums of modular symbols	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
On the jth smallest modulus of a covering system with distinct moduli	1
On monogenity of number fields and Galois group	1
Conjugacy classes and rational period functions for the Hecke groups	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
Some cases of the unramified Fontaine–Mazur conjecture	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
Explicit small image theorems for residual modular representations	1
Unimodal sequences: From Isaac Newton to June Huh	1
The generating fields of twisted Kloosterman sums	1
On the absolute convergence of automorphic Dirichlet series	1
Ramanujan continued fractions of order sixteen	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
Bolytrope orders	1
Relations of multiple t-values of general level	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(−7)	1
The Effect of the trace operator on the duality of modular grids in genus zero levels	1
Correlations of sieve weights and distributions of zeros	1

Hasse principle violations in twist families of superelliptic curves	1
There are no Diophantine quadruples of Pell numbers	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Counting elements with given trace and norm in étale algebras	1