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 2021-05-01 to 2025-05-01.)

Article	Citations
On the parity of the number of (a,b,m)-copartitions of n	15
A two-parametric family of high rank Mordell curves	15
On some estimates involving Fourier coefficients of Maass cusp forms	11
Interlacing properties for zeros of a family of modular forms	10
An explicit comparison of anticyclotomic p-adic L-functions for Hida families	6
On classification of sequences containing arbitrarily long arithmetic progressions	5
Geodesic flows and the mother of all continued fractions	5
Numbers of the form kf(k)	5
Some remarks on the Erdős Distinct subset sums problem	5
Product of three primes in large arithmetic progressions	4
Corrigendum to “The discriminant of compositum of algebraic number fields”	4
Solubility of additive quartic forms over ramified quadratic extensions of ℚ2	4
Distribution of ω(n) over h-free and h-full numbers	4
On 5ψ5 identities of Bailey	4
On monogenity of certain pure number fields defined by xpr − m	3
Almost prime triples and Chen’s theorem	3
On the irrationality of certain 2-adic zeta values	3
On certain sums of number theory	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
Uniform distribution of polynomially-defined additive functions to varying moduli	3
Author index (Volume 18)	3
Uniformizer of the false Tate curve extension of ℚp (II)	3
Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions	3
On an elliptic curve involving pairs of triangles and special quadrilaterals	3

An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree n	3
Translated sums on special family of quasi-primitive sequences	3
Limit shapes for unimodal sequences	3
Further generalizations of some Hecke-type identities	3
A note on Dedekind zeta values at 1/2	2
Proof of a conjecture on congruences of the sum of minimal excludants	2
Averages of coefficients of the decomposable L-function of degree seven	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
2-Adic Galois images of isogeny-torsion graphs over ℚ with CM	2
2-Adic volume of the homogeneous space of a quadratic form	2
Multiplier systems for Siegel modular groups	2
On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3	2
Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions	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
Constructing totally p-adic numbers of small height	2
Fourier coefficients of automorphic L-functions	2
Detailed asymptotic expansions for partitions into powers	2
Minimal excludant over partitions into distinct parts	2
Double and triple character sums and gaps between the elements of subgroups of finite fields	2
Exceptional sets related to the largest digits in Lüroth expansions	2
On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II	2
Stability of certain higher degree polynomials	2
Two-torsion subgroups of some modular Jacobians	2
kth powers in Piatetski-Shapiro sequences	2
An LLL Algorithm with Symmetries	2
On an extension of a question of Baker	2
S-unit equation in two variables and Padé approximations	2
Hankel determinants of sequences related to Bernoulli and Euler polynomials	2
On multiple Hurwitz zeta function of Mordell–Tornheim type	2
Cesàro averages for Goldbach representations with summands in arithmetic progressions	2
Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2
A sum of three nonzero triangular numbers	2
Lambert series associated to Hilbert modular form	2
On exceptionality of dimension three in terms of lattice angles	2
Some q-supercongruences related to Swisher’s (H.3) conjecture	2
Representations of large integers as the sum of fractional powers of primes and squares	2
The Ru–Vojta result for subvarieties	2
The discriminant of a hypersurface in weighted projective space	2
Lattice points on a curve via ℓ2 decoupling	2
Ranks of 1-motives as dimensions of Ext¹ vector spaces	1
On the second moment of Fourier coefficients of symmetric power L-function	1
Some cases of the unramified Fontaine–Mazur conjecture	1
Roth-type theorem for nonlinear equations in Piatetski-Shapiro primes	1
Proof of Kaneko–Tsumura conjecture on triple T-values	1
Projective toric codes	1
Uniformity of quadratic points	1
The large sieve with power moduli in imaginary quadratic number fields	1
A new upper bound on Ruzsa’s numbers on the Erdős–Turán conjecture	1
An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect	1

Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh	1
On algebraic integers which are 2-Salem elements in positive characteristic	1
Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions	1
There are no Diophantine quadruples of Pell numbers	1
On affinoids in quotients of Fermat varieties and explicit formula for Jacobi sum Hecke characters	1
A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme	1
Eigenspaces of newforms with nontrivial character	1
Conditional reconstruction of affine open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups	1
A further generalization of sums of higher derivatives of the Riemann zeta function	1
On sums of gcd-sum functions	1
Galois groups arising from families with big orthogonal monodromy	1
On a family of Siegel Poincaré series	1
The Shimura–Shintani correspondence via singular theta lifts and currents	1
The character sums over the set of kth power residues	1
More inequalities for the overpartition function	1
Minimal Mahler measure in cubic number fields	1
Zero-free regions for spectral averages of Hecke L-functions	1
Ramanujan continued fractions of order sixteen	1
Restriction of p-modular representations of U(2,1) to a Borel subgroup	1
An asymptotic expansion for a Lambert series associated to the symmetric square L-function	1
Variations on a theorem of Capelli	1
L-function of CM elliptic curves and generalized hypergeometric functions	1
Recovering the Picard group of quadratic algebras from Wood’s binary quadratic forms	1
On the properties of Northcott and Narkiewicz for elliptic curves	1
Legendre theorems for certain overpartitions and overpartition pairs	1
The generalized Catalan equation in positive characteristic	1
Author index (Volume 17)	1
Rational points on Del Pezzo surfaces of degree four	1
Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4	1
Correlations of sieve weights and distributions of zeros	1
Counting elements with given trace and norm in Etale algebras	1
Congruences for partial sums of the generating series for 3k k	1
On the sum of a Fibonacci number and a prime	1
Some separable integer partition classes	1
On the error term in the explicit formula of Riemann–von Mangoldt	1
Explicit classification of isogeny graphs of rational elliptic curves	1
Misiurewicz polynomials and dynamical units, part I	1
Unimodal sequences: From Isaac Newton to June Huh	1
On the jth smallest modulus of a covering system with distinct moduli	1
The Generating Fields of Twisted Kloosterman Sums	1
Gaps in the complex Farey sequence of an imaginary quadratic number field	1
Hyperelliptic curves with many automorphisms	1
Conjugacy classes and rational period functions for the Hecke groups	1
Explicit small image theorems for residual modular representations	1
Weil polynomials of abelian varieties over finite fields with many rational points	1
Determination of normalized extremal quasimodular forms of depth 1 with integral Fourier coefficients	1
Visual aspects of Gaussian periods and analogues	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
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
On a sumset problem for dilated integer sets	1
On Monogenity of Number Fields and Galois Group	1
Non-random behavior in sums of modular symbols	1
On a basic mean value theorem with explicit exponents	1
Hasse principle violations in twist families of superelliptic curves	1
Diversity in rationally parameterized number fields	1
A short note on Manin–Mumford	1
Regular ternary sums of generalized pentagonal numbers	1
Algebraic independence results for colored multizeta values in characteristic p	1
Brauer–Manin obstruction to the local–global principle for the embedding problem	1
A density version of Waring–Goldbach 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
An upper bound on the number of classes of perfect unary forms in totally real number fields	1
On the rational cuspidal divisor class groups of Drinfeld modular curves X0(????r)	1
Descent for projective twists of modular curves	1
Bolytrope orders	1
Rational ????-parallelogram envelopes via ????-congruent elliptic curves	1
On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture	1
On fractional sums of the divisor functions	1