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 2021-12-01 to 2025-12-01.)

Article	Citations
On classification of sequences containing arbitrarily long arithmetic progressions	14
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	7
Some remarks on the Erdős Distinct subset sums problem	6
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	5
Uniform distribution of polynomially-defined additive functions to varying moduli	5
Numbers of the form kf(k)	5
On the parity of the number of (a,b,m)-copartitions of n	5
A two-parametric family of high rank Mordell curves	5
Almost prime triples and Chen’s theorem	5
Product of three primes in large arithmetic progressions	5
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
On 5ψ5 identities of Bailey	4
On an elliptic curve involving pairs of triangles and special quadrilaterals	4
Distribution of ω(n) over h-free and h-full numbers	4
Uniformizer of the false Tate curve extension of ℚp (II)	4
Author index (Volume 18)	4
A Dirichlet series related to the error term in the Prime Number Theorem	4
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
An octic diophantine equation and related families of elliptic curves	3
On the irrationality of certain 2-adic zeta values	3
The discriminant of a hypersurface in weighted projective space	3
On an extension of a question of Baker	3
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3

On certain sums of number theory	3
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	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
Conditional determination of average rank of elliptic curves over function fields	3
Translated sums on special family of quasi-primitive sequences	3
A further common q-extension of two supercongruences	3
Limit shapes for unimodal sequences	3
Lattice points on a curve via ℓ2 decoupling	3
Uniformity of quadratic points	2
kth powers in Piatetski-Shapiro sequences	2
Lambert series associated to Hilbert modular form	2
On a family of Siegel Poincaré series	2
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	2
3-Adic zeros of diagonal forms of odd degree	2
Averages of coefficients of the decomposable L-function of degree seven	2
Exceptional sets related to the largest digits in Lüroth expansions	2
Stability of certain higher degree polynomials	2
An upper bound on the number of classes of perfect unary forms in totally real number fields	2
On exceptionality of dimension three in terms of lattice angles	2
Bolytrope orders	2
An LLL algorithm with symmetries	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
Hybrid subconvexity bounds for twists of GL(3)×GL(2) L -functions	2
Matsuda monoids and Artin’s primitive root conjecture	2
Rational points on Del Pezzo surfaces of degree four	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Some separable integer partition classes	2
Gap widths in the fractional parts of roots	2
Regular ternary sums of generalized pentagonal numbers	2
Explicit classification of isogeny graphs of rational elliptic curves	2
On the exponential Diophantine equation Fnx ± Fmx = a with a ∈{Fr,Lr}	2
Hasse principle violations in twist families of superelliptic curves	2
Two-torsion subgroups of some modular Jacobians	2
A further generalization of sums of higher derivatives of the Riemann zeta function	2
Fourier coefficients of automorphic L-functions	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
A note on Dedekind zeta values at 1/2	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
The Bailey transform and Hecke-type series	2
The character sums over the set of kth power residues	2
On the jth smallest modulus of a covering system with distinct moduli	2
Eigenform product identities of genus two Siegel modular forms of general congruence level	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
A density version of Waring–Goldbach problem	2
The number of quadratic residue Pythagorean triples	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Misiurewicz polynomials and dynamical units, part I	2

2-Adic volume of the homogeneous space of a quadratic form	2
More inequalities for the overpartition function	2
Multiplier systems for Siegel modular groups	2
The generating fields of twisted Kloosterman sums	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
Detailed asymptotic expansions for partitions into powers	2
Minimal excludant over partitions into distinct parts	2
Descent for projective twists of modular curves	2
On monogenity of number fields and Galois group	1
A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series	1
A short note on Manin–Mumford	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
Erratum: On abelian covers of the projective line with fixed gonality and many rational points	1
Algebraic periodic points of transcendental entire functions	1
Variations on a theorem of Capelli	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
New isogenies of elliptic curves over number fields	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
Legendre theorems for certain overpartitions and overpartition pairs	1
Galois groups arising from families with big orthogonal monodromy	1
Congruences for partial sums of the generating series for 3k k	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Minimal Mahler measure in cubic number fields	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
On the sum of a Fibonacci number and a prime	1
Some q-supercongruences modulo the product of cyclotomic polynomials	1
Zero-free regions for spectral averages of Hecke L-functions	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Sums of higher divisors of positive definite integral quadratic forms	1
An explicit version of Chen’s theorem and the linear sieve	1
On a sumset problem for dilated integer sets	1
Author index (Volume 21)	1
Visual aspects of Gaussian periods and analogues	1
Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
Non-linear additive twists of GL(2)×GL(2) cusp-form coefficients over primes	1
Eigenspaces of newforms with nontrivial character	1
Counting elements with given trace and norm in étale algebras	1
Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight	1
n -Defective Lehmer pairs for small n : Corrections and clarifications	1
The transcendence of growth constants associated with polynomial recursions	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves	1
Uniform bounds on S-integral torsion points for ????m and elliptic curves	1
Certain infinite products in terms of MacMahon type series	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
On the sum of error terms associated to the sum-of-divisors function σa(n) for 1 2 < a ≤ 1	1
Conjugacy classes and rational period functions for the Hecke groups	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Some identities on Fu–Tang’s partition statistic of partitions with even parts below odd parts	1
Solubility of Additive Quartic Forms over ℚ2(−1)	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Dynatomic Galois groups for a family of quadratic rational maps	1
On the absolute convergence of automorphic Dirichlet series	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
Algebraic independence results for colored multizeta values in characteristic p	1
Some cases of the unramified Fontaine–Mazur conjecture	1
Unimodal sequences: From Isaac Newton to June Huh	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Diversity in rationally parameterized number fields	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	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
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Ranks of 1-motives as dimensions of Ext¹ vector spaces	1
On fractional sums of the divisor functions	1
Correlations of sieve weights and distributions of zeros	1
The large sieve with power moduli in imaginary quadratic number fields	1