OOIR: Observatory of International Research

Papers

(The TQCC of Acta Arithmetica 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 2022-05-01 to 2026-05-01.)

Article	Citations
An explicit Watson–Ichino formula with CM newforms	8
Forbidden conductors of $L$-functions and continued fractions of particular form	8
Reduction and isogenies of elliptic curves	5
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	5
Rank distribution in cubic twist families of elliptic curves	5
Arboreal Galois groups of rational maps with nonreal Julia sets	5
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension	4
On a variance associated with the distribution of real sequences in arithmetic progressions	4
A large sieve inequality for characters to quadratic moduli	4
The irrationality of a divisor function series of Erdős and Kac	4
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	3
Limit points and discrepancy of the fractional parts of $b^n/n$	3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	3
Orders with few rational monogenizations	3
Formulas for moments of class numbers in arithmetic progressions	3
Preperiodic points with local rationality conditions in the quadratic unicritical family	3
The large sieve for self-dual Eisenstein series of varying levels	3
Holomorphic Eisenstein series of rational weights and special values of Gamma function	3
Defining $\mathbb Z$ using unit groups	2
Tetraelliptic modular curves $X_1(N)$	2
Zeta functions of quadratic Artin–Schreier curves in characteristic two	2
On the quartic surface x4+y4=z4+w4	2
Cubic congruences and binary quadratic forms	2
Primes of higher degree	2
Additive bases: change of domain	2

An asymptotic version of Cobham’s theorem	2
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$	2
Genus theory, governing field, ramification and Frobenius	2
Addendum and corrigendum to the paper “Nonlinear twists and moments of L-functions” (Acta Arith. 214 (2024), 153–171)	2
Diophantine approximation with constraints	2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set	2
Local conductor bounds for modular abelian varieties	2
A study of monogenity of binomial composition	2
The Erdős distinct subset sums problem in a modular setting	2
Factorial-type recurrence relations and $p$-adic incomplete gamma functions	2
Uniqueness conjecture on simultaneous Pell equations	2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$	2
Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences	2
On the sum of two powered numbers	2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses	2
A new bound for Erdős’ minimum overlap problem	2
Correlations of Farey fractions with square-free denominators	2
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$	1
An upper bound on the least prime for certain modular congruences	1
The distribution of rational points on conics	1
Monogenic cyclic trinomials of the form $x^4+cx+d$	1
On interpolated multiple $L$-values	1
On the structure of even $K$-groups of rings of algebraic integers	1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials	1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials	1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)	1
Exponential sum bound of Mordell and Hua	1
The cubic Pell equation $L$-function	1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	1
Correspondance de Langlands locale $p$-adique et anneaux de Kisin	1
Counting torsion points on subvarieties of the algebraic torus	1
On simultaneous approximation to a real number, its square, and its cube, II	1
On the number of irreducible representations of $\mathfrak{su}(3)$	1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions	1
On the conical zeta values and the Dedekind zeta values for totally real fields	1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power	1
On a Kurzweil type theorem via ubiquity	1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond	1
Number of equivalence classes of rational functions over finite fields	1
Solutions to a Romanoff type problem	1
Sums of 1-, 2- and 3-dimensional Galois representations and modular symbols for GLn/Q	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
Density versions of the binary Goldbach problem	1
Systems of bihomogeneous forms of small bidegree	1
Remarks on sums of reciprocals of fractional parts	1
p-Integrality of canonical coordinates	1
Quadratic points on the Fermat quartic over number fields	1
Uniform bounds for the number of rational points of bounded height on certain elliptic curves	1
On Euler’s magic matrices of sizes 3 and 8	1

Torsion and exceptional units	1
On a simple quartic family of Thue equations over imaginary quadratic number fields	1
Two problems on the greatest prime factor of $n^2+1$	1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules	1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I	1
Maximum values of multiplicative functions on short intervals	1
On generalized Narkiewicz constants of finite abelian groups	1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$	1
Classes de Steinitz d’extensions galoisiennes non ramifiées	1
Sato–Tate groups and distributions of yℓ=x(xℓ−1)	1
The Thue–Morse continued fractions in characteristic 2 are algebraic	1
Kida’s formula for graphs with ramifications	1
Primes represented by shifted quadratic forms: on primitivity and congruence classes	1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	1
Families of cyclic quartic monogenic polynomials	1
Bad witnesses for a composite number	1
Additive decomposition of signed primes	1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series	1
Birch’s theorem on forms in many variables with a Hessian condition	1
A system of certain linear Diophantine equations on analogs of squares	1
Refinements on vertical Sato–Tate	1
Congruences for modular forms and applications to crank functions	1
On the convergence of certain indefinite theta series	1
Level-13 theta function identities of Ramanujan and applications	1
Unramified extensions of quadratic number fields with Galois group 2.An	1
On finite field analogues of determinants involving the Beta function	1
The Riemann hypothesis for period polynomials of cusp forms	1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms	1
Courbes de Fermat et principe de Hasse	1
On $d$-complete sequences of integers, II	1
Certain Diophantine equations and new parity results for 21-regular partitions	1