International Journal of Number Theory

Article	Citations
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	15
Numbers of the form kf(k)	15
Deformations of reducible Galois representations to Hida-families	10
A relative bigness inequality and equidistribution theorem over function fields	10
The set of limit points for the conjugates of Pisot numbers	6
Distribution of ω(n) over h-free and h-full numbers	5
Convergence of improper Iwasawa continued fractions	5
Some q-supercongruences for truncated q-trinomial coefficients	5
Hilbert Poincaré series and kernels for products of L-functions	5
Conjugacy classes and rational period functions for the Hecke groups	4
On central L-values and the growth of the 3-part of the Tate–Shafarevich group	4
Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i)	4
Jensen polynomials for holomorphic functions	4
On the superspecial loci of orthogonal type Shimura varieties	3
On the k-resultant modulus set problem on varieties over finite fields	3
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	3
Computing Shintani domains	3
On classification of sequences containing arbitrarily long arithmetic progressions	3
Towards the Sato–Tate groups of trinomial hyperelliptic curves	3
The mean number of divisors for rough, dense and practical numbers	3
Corrigendum to “The discriminant of compositum of algebraic number fields”	3
The Barban–Davenport–Halberstam theorem for a restricted set of arithmetic progressions	3
F-Diophantine sets over finite fields	3
Ternary quadratic forms representing the same integers	3
On 5ψ5 identities of Bailey	3

Efficient congruencing in ellipsephic sets: the general case	3
The character sums over the set of k-th power residues	2
Explicit Burgess bound for composite moduli	2
A two-parametric family of high rank Mordell curves	2
Galois deformation rings and modularity in the residually reducible case	2
GL(2) Weyl bound via a multiplicative character delta method	2
Twisted moments of GL(3) ×GL(2) L-functions	2
Zero-free regions for spectral averages of Hecke L-functions	2
On the Shimura lift modulo 2	2
On some discrete mean values of higher derivatives of Hardy’s Z-function	2
Finite sequences of integers expressible as sums of two squares	2
Lacunary eta quotients with identically vanishing coefficients	2
On values of logarithmic derivative of L-function attached to modular form	2
Almost prime triples and Chen’s theorem	2
Convexity and log-concavity of the partition function weighted by the parity of the crank	2
On some estimates involving Fourier coefficients of Maass cusp forms	2
On the number of l-regular overpartitions	2
Near-miss identities and spinor genus classification of ternary quadratic forms with congruence conditions	2
On a sum involving small arithmetic functions	2
Geodesic flows and the mother of all continued fractions	2
Product of three primes in large arithmetic progressions	2
A note on the size of iterated sumsets in ℤd	2
A conjecture of Hegyvári	2
On the Diophantine equation σ2(X¯n) = σn(X¯n)	2
Rational points on Del Pezzo surfaces of degree four	2
The Effect of the trace operator on the duality of modular grids in genus zero levels	2
Unramified extensions of quadratic number fields with certain perfect Galois groups	2
Reciprocity formulae for generalized Dedekind–Rademacher sums attached to three Dirichlet characters and related polynomial reciprocity formulae	2
Cyclic cubic extensions of ℚ	2
Mertens’ theorem for Chebotarev sets	2
Rational points on x3 + x2y2 + y3 = k	2
Internal congruences modulo powers of 5, 7 and 13 for certain partition functions	2
Singmaster-type results for Stirling numbers and some related diophantine equations	2
The Manin–Peyre conjecture for certain multiprojective hypersurfaces	2
Metrical properties for functions of consecutive multiple partial quotients in continued fractions	2
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	2
A LeVeque-type inequality on the ring of p-adic integers	1
Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	1
Density questions in rings of the form ????K[γ] ∩ K	1
Zeros of a binomial combination of Chebyshev polynomials	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1
A p-adic lower bound for a linear form in logarithms	1
A note on logarithmic equidistribution	1
Descent for projective twists of modular curves	1
The cuspidal cohomology of GL3/ℚ and cubic fields	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Multi-partition analogue of q-binomial coefficients	1
Limit shapes for unimodal sequences	1
Generalized L-functions related to the Riemann zeta function	1
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	1

On the functional equations of Siegel Eisenstein series of an odd prime level p	1
The ????-primary uniform boundedness conjecture for Drinfeld modules	1
On monogenity of certain pure number fields defined by xpr − m	1
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	1
Reductions of Galois representations and the theta operator	1
Dirichlet series associated to sum-of-digits functions	1
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	1
The Hasse principle for finite Galois modules allowing exceptional sets of positive density	1
Author index (Volume 18)	1
Locally cyclic extensions with Galois group GL2(p)	1
Spherical functions and local densities on the space of p-adic quaternion Hermitian forms	1
A note on prime number races and zero free regions for L functions	1
Theta series for quadratic forms of signature (n − 1,1) with (spherical) polynomials	1
Variations on a theme of Mirsky	1
On restricted divisor sums associated to the Chowla–Walum conjecture	1
On the λ-stability of p-class groups along cyclic p-towers of a number field	1
Torsion of elliptic curves in the compositum of Dihedral fields	1
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	1
On the irrationality of certain 2-adic zeta values	1
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds	1
Consecutive square-free numbers and square-free primitive roots	1
On the d-representation of integers	1
Further generalizations of some Hecke-type identities	1
On primary pseudo-polynomials (around Ruzsa’s conjecture)	1
A function related to the Mordell–Weil rank of elliptic curves	1
The Euler totient function on Lucas sequences	1
The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	1
Legendre theorems for certain overpartitions and overpartition pairs	1
The transcendence of growth constants associated with polynomial recursions	1
On fractional sums of the divisor functions	1
Structural properties of multiple zeta values	1
Fourier coefficients of cusp forms on special sequences	1
Uniform distribution of polynomially-defined additive functions to varying moduli	1
Galois groups arising from families with big orthogonal monodromy	1
Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows	1
Interlacing properties for zeros of a family of modular forms	1
Weighted double character sums with Beatty sequences	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
On sums of gcd-sum functions	1
On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture	1
Primes in denominators of algebraic numbers	1
Paramodular groups and theta series	1
Hyperelliptic curves with many automorphisms	1
The Ostrowski quotient of an elliptic curve	1
Uniformity of quadratic points	1
A note on weakly prime-additive numbers	1
Odd values of partition functions related to binary quadratic forms	1
Oscillations of Fourier coefficients of product of L-functions at integers in a sparse set	1
Statistics for Iwasawa invariants of elliptic curves, II	1
An octic diophantine equation and related families of elliptic curves	1
A polynomial method for proving congruences of pω(n,m) and pν(n,m)	1
Some remarks on the Erdős Distinct subset sums problem	1
Author index (Volume 19)	1
On the parity of the number of (a,b,m)-copartitions of n	1
Near-squares in binary recurrence sequences	1
Conductors of twisted Weil–Deligne representations	1
Refinement of some partition identities of Merca and Yee	1
Analogue of Ramanujan’s function k(τ) for the cubic continued fraction	1
Inhomogeneous Diophantine approximation for generic homogeneous functions	1
On the jth smallest modulus of a covering system with distinct moduli	1
Divisibility and distribution of mex-related integer partitions of Andrews and Newman	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Relations of multiple t-values of general level	1
On Artin’s conjecture for pairs of diagonal forms	1
Hecke operators on Hilbert–Siegel theta series	1
Functional equation of Mordell–Tornheim multiple zeta function	1
Unimodal sequences: From Isaac Newton to June Huh	0
On Hecke eigenvalues of cusp forms in almost all short intervals	0
Higher reciprocity laws and ternary linear recurrence sequences	0
On the absolute convergence of automorphic Dirichlet series	0
Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields	0
On multiple Hurwitz zeta function of Mordell–Tornheim type	0
Proof of a conjecture on congruences of the sum of minimal excludants	0
The explicit Sato–Tate conjecture for primes in arithmetic progressions	0
Frobenius finds non-monogenic division fields of abelian varieties	0
Inhomogeneous additive equations	0
There are no Diophantine quadruples of Pell numbers	0
The Shimura–Shintani correspondence via singular theta lifts and currents	0
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	0
Non-vanishing of theta components of Jacobi forms with level and an application	0

Explicit Weil-pairing for Drinfeld modules	0
On k-fold super totient numbers	0
On length of the period of the continued fraction of nd	0
New and simple proofs of Ramanujan’s modular equations of degree 11	0
On k-measures and Durfee squares of partitions	0
On the Index of Friability	0
On the invariants of L-functions of degree 2, I: Twisted degree and internal shift	0
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	0
Mean value estimates of gcd and lcm-sums	0
A density version of Waring-Goldbach problem	0
Exceptional sets related to the largest digits in Lüroth expansions	0
Kepler sets of second-order linear recurrence sequences over Qp	0
Partial factorizations of products of binomial coefficients	0
On the vertical distribution of values of L-functions in the Selberg class	0
Uniform Bounds on S-Integral Torsion Points for ????m and Elliptic Curves	0
Number of ????q-points on diagonal hypersurfaces and hypergeometric function	0
Misiurewicz polynomials and dynamical units, part I	0
On bounded basis with prescribed representation functions	0
Extensions of Watson’s theorem and the Ramanujan–Guinand formula	0
Values of p-adic hypergeometric functions and p-adic analogue of Kummer’s linear identity	0
Multiplier systems for Siegel modular groups	0
On the Glasner property of linear maps with prime entries on tori	0
On the divisibility of 7-elongated plane partition diamonds by powers of 8	0
On multiplicative dependent vectors with coordinates from certain higher order recurrences	0
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form	0
Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion	0
On exceptionality of dimension three in terms of lattice angles	0
Entanglement of elliptic curves upon base extension	0
Congruences of Galois representations attached to effective A-motives over global function fields	0
Dense clusters of zeros near the zero-free region of ζ(s)	0
Ramanujan continued fractions of order sixteen	0
The sum of four squares over real quadratic number fields	0
Irreducibility and Galois groups of truncated binomial polynomials	0
Hasse principle violations in twist families of superelliptic curves	0
Computing base extensions of ordinary abelian varieties over finite fields	0
A Freiman-type Theorem for restricted sumsets	0
Northcott property and universality of higher degree forms	0
p-Adic hypergeometric functions and the trace of Frobenius of elliptic curves	0
Lambert series associated to Hilbert modular form	0
Elliptic curves with few bad primes	0
Squares in recurrences using elliptic curves	0
On ∞-adic and v-adic multiple zeta functions in positive characteristic	0
Log-concavity of infinite product and infinite sum generating functions	0
The least primary factor of the multiplicative group	0
The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture	0
Hida theory for special orders	0
Arithmetic progressions in squarefull numbers	0
Cesàro averages for Goldbach representations with summands in arithmetic progressions	0
On the weighted average number of subgroups of ℤm × ℤn with mn ≤ x	0
Brauer–Manin obstruction for Wehler K3 surfaces of Markoff type	0
Non-vanishing of certain cyclotomic multiple harmonic sums and application to the non-vanishing of certain p-adic cyclotomic multiple zeta values	0
Counting rational points over imaginary quadratic number fields on a singular cubic surface	0
Critical points of modular forms	0
Triple correlations of ternary divisor functions. II	0
Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13	0
Consecutive quadratic residues in Beatty sequences	0
Galois criterion for torsion points of Drinfeld modules	0
Two-torsion subgroups of some modular Jacobians	0
Diversity in rationally parameterized number fields	0
Ranks in the family of hyperelliptic Jacobians of y2 = x5 + ax II	0
Author index (Volume 20)	0
Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip	0
Shintani cones for complex cubic number fields	0
A series associated to Rankin–Selberg L-function and modified K-Bessel function	0
Hybrid subconvexity bounds for twists of GL(3) L-functions	0
Averages of coefficients of the decomposable L-function of degree seven	0
An upper bound on the number of classes of perfect unary forms in totally real number fields	0
Congruence classes for modular forms over small sets	0
Projective toric codes	0
Algebraic independence results for colored multizeta values in characteristic p	0
Rational solutions to the variants of Erdős–Selfridge superelliptic curves	0
Polar harmonic Maaß forms and holomorphic projection	0
Residue pattern for infinitely many primes	0
Weighted sum formula for variants of half multiple zeta values	0
Supersingular j-invariants and the class number of ℚ(−p)	0
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	0
Minimal excludant over partitions into distinct parts	0
Torsion groups of elliptic curves over ℚ(μp∞)	0
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	0
Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions	0
Regular ternary sums of generalized pentagonal numbers	0
A family of integrals related to values of the Riemann zeta function	0
Linear algebra and congruences for MacMahon’s k-rowed plane partitions	0
Families of identities involving universal mock theta functions	0
A global invariant and Hasse invariants at finite or real primes	0
Class number behavior in a two-tiered tower of ℤp-extensions	0
Congruences for partial sums of the generating series for 3k k	0
Bolytrope orders	0
Natural homomorphism of Witt rings of a certain cubic order	0
Rationality of the Petersson Inner Product of Cohen’s Kernels	0
Terms of recurrence sequences in the solution sets of generalized Pell equations	0
Arithmetic properties of 5-regular partitions into distinct parts	0
kth powers in Piatetski-Shapiro sequences	0
Cubic function fields with prescribed ramification	0
Absolute zeta functions arising from ceiling and floor Puiseux polynomials	0