OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Number Theory is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
Numbers of the form kf(k)	15
An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields	15
A relative bigness inequality and equidistribution theorem over function fields	10
Deformations of reducible Galois representations to Hida-families	10
The set of limit points for the conjugates of Pisot numbers	6
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
Distribution of ω(n) over h-free and h-full numbers	5
Points on x4 + y4 + z4 = 0 over algebraic extensions of ℚ(i)	4
Jensen polynomials for holomorphic functions	4
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
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
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
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
Unramified extensions of quadratic number fields with certain perfect Galois groups	2
The Effect of the trace operator on the duality of modular grids in genus zero levels	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
The character sums over the set of k-th power residues	2
A two-parametric family of high rank Mordell curves	2
Explicit Burgess bound for composite moduli	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
On some estimates involving Fourier coefficients of Maass cusp forms	2
Convexity and log-concavity of the partition function weighted by the parity of the crank	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
Some remarks on the Erdős Distinct subset sums problem	1
Legendre theorems for certain overpartitions and overpartition pairs	1
On the parity of the number of (a,b,m)-copartitions of n	1
The transcendence of growth constants associated with polynomial recursions	1
Refinement of some partition identities of Merca and Yee	1
Structural properties of multiple zeta values	1
On the jth smallest modulus of a covering system with distinct moduli	1
Galois groups arising from families with big orthogonal monodromy	1
Inhomogeneous Diophantine approximation for generic homogeneous functions	1
Relations of multiple t-values of general level	1
Weighted double character sums with Beatty sequences	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Hecke operators on Hilbert–Siegel theta series	1
Functional equation of Mordell–Tornheim multiple zeta function	1

On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture	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
Statistics for Iwasawa invariants of elliptic curves, II	1
A note on logarithmic equidistribution	1
Descent for projective twists of modular curves	1
A polynomial method for proving congruences of pω(n,m) and pν(n,m)	1
The cuspidal cohomology of GL3/ℚ and cubic fields	1
Multi-partition analogue of q-binomial coefficients	1
Author index (Volume 19)	1
Generalized L-functions related to the Riemann zeta function	1
Near-squares in binary recurrence sequences	1
The ????-primary uniform boundedness conjecture for Drinfeld modules	1
Conductors of twisted Weil–Deligne representations	1
On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	1
Analogue of Ramanujan’s function k(τ) for the cubic continued fraction	1
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	1
Divisibility and distribution of mex-related integer partitions of Andrews and Newman	1
Dirichlet series associated to sum-of-digits functions	1
On Artin’s conjecture for pairs of diagonal forms	1
Author index (Volume 18)	1
Locally cyclic extensions with Galois group GL2(p)	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
A LeVeque-type inequality on the ring of p-adic integers	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
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds	1
On the d-representation of integers	1
Limit shapes for unimodal sequences	1
Further generalizations of some Hecke-type identities	1
A function related to the Mordell–Weil rank of elliptic curves	1
Congruence properties modulo powers of 2 for overpartitions and overpartition pairs	1
The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n	1
On the functional equations of Siegel Eisenstein series of an odd prime level p	1
On fractional sums of the divisor functions	1
On monogenity of certain pure number fields defined by xpr − m	1
Uniform distribution of polynomially-defined additive functions to varying moduli	1
Reductions of Galois representations and the theta operator	1
Fourier coefficients of cusp forms on special sequences	1
Interlacing properties for zeros of a family of modular forms	1
The Hasse principle for finite Galois modules allowing exceptional sets of positive density	1
Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
On sums of gcd-sum functions	1
Spherical functions and local densities on the space of p-adic quaternion Hermitian forms	1
Primes in denominators of algebraic numbers	1
Paramodular groups and theta series	1
Variations on a theme of Mirsky	1
Hyperelliptic curves with many automorphisms	1
The Ostrowski quotient of an elliptic curve	1
Uniformity of quadratic points	1
Consecutive square-free numbers and square-free primitive roots	1
A note on weakly prime-additive numbers	1
Odd values of partition functions related to binary quadratic forms	1
On primary pseudo-polynomials (around Ruzsa’s conjecture)	1
Oscillations of Fourier coefficients of product of L-functions at integers in a sparse set	1
An octic diophantine equation and related families of elliptic curves	1
The Euler totient function on Lucas sequences	1