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 2022-08-01 to 2026-08-01.)

Article	Citations
An explicit Watson–Ichino formula with CM newforms	9
Forbidden conductors of $L$-functions and continued fractions of particular form	9
Reduction and isogenies of elliptic curves	6
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	5
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	5
A large sieve inequality for characters to quadratic moduli	5
Rank distribution in cubic twist families of elliptic curves	5
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	4
Preperiodic points with local rationality conditions in the quadratic unicritical family	4
On a variance associated with the distribution of real sequences in arithmetic progressions	4
The irrationality of a divisor function series of Erdős and Kac	4
Limit points and discrepancy of the fractional parts of $b^n/n$	3
Correlations of Farey fractions with square-free denominators	3
Uniqueness conjecture on simultaneous Pell equations	3
An asymptotic version of Cobham’s theorem	3
Orders with few rational monogenizations	3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	3
Holomorphic Eisenstein series of rational weights and special values of Gamma function	3
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$	3
Genus theory, governing field, ramification and Frobenius	3
The large sieve for self-dual Eisenstein series of varying levels	3
Formulas for moments of class numbers in arithmetic progressions	3
Defining $\mathbb Z$ using unit groups	3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions	3

The Erdős distinct subset sums problem in a modular setting	2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$	2
Local conductor bounds for modular abelian varieties	2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	2
Congruences for modular forms and applications to crank functions	2
On the quartic surface x4+y4=z4+w4	2
Tetraelliptic modular curves $X_1(N)$	2
Addendum and corrigendum to the paper “Nonlinear twists and moments of L-functions” (Acta Arith. 214 (2024), 153–171)	2
A new bound for Erdős’ minimum overlap problem	2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set	2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses	2
Cubic congruences and binary quadratic forms	2
Uniform bounds for the number of rational points of bounded height on certain elliptic curves	2
A study of monogenity of binomial composition	2
Additive bases: change of domain	2
On the sum of two powered numbers	2
Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences	2
Primes of higher degree	2
Correspondance de Langlands locale $p$-adique et anneaux de Kisin	2
Exponential sum bound of Mordell and Hua	2
Diophantine approximation with constraints	2
Zeta functions of quadratic Artin–Schreier curves in characteristic two	2
On the convergence of certain indefinite theta series	1
The multiplication table constant and sums of two squares	1
Genus theory of $p$-adic pseudo-measures, Hilbert kernels and abelian $p$-ramification	1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	1
Refinements on vertical Sato–Tate	1
Explicit Hecke eigenform product identities for Hilbert modular forms	1
On the structure of even $K$-groups of rings of algebraic integers	1
Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip	1
Kida’s formula for graphs with ramifications	1
Level-13 theta function identities of Ramanujan and applications	1
Two problems on the greatest prime factor of $n^2+1$	1
Density versions of the binary Goldbach problem	1
On finite field analogues of determinants involving the Beta function	1
Maximum values of multiplicative functions on short intervals	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$	1
On the conical zeta values and the Dedekind zeta values for totally real fields	1
Monogenic cyclic trinomials of the form $x^4+cx+d$	1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms	1
Classes de Steinitz d’extensions galoisiennes non ramifiées	1
On interpolated multiple $L$-values	1
Remarks on sums of reciprocals of fractional parts	1
On products of prime powers in linear recurrence sequences	1
Quadratic points on the Fermat quartic over number fields	1
Product formula of Artin symbols in non-abelian extensions	1
Solutions to a Romanoff type problem	1
Conditional lower bounds on the distribution of central values in families of $L$-functions	1
On generalized Narkiewicz constants of finite abelian groups	1

p-Integrality of canonical coordinates	1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials	1
Torsion of rational elliptic curves over the cyclotomic extensions of Q	1
On Euler’s magic matrices of sizes 3 and 8	1
The Thue–Morse continued fractions in characteristic 2 are algebraic	1
Unramified extensions of quadratic number fields with Galois group 2.An	1
Number of equivalence classes of rational functions over finite fields	1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond	1
Bad witnesses for a composite number	1
Courbes de Fermat et principe de Hasse	1
A system of certain linear Diophantine equations on analogs of squares	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
Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions	1
Indices of nilpotency in certain spaces of modular forms	1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)	1
On a Kurzweil type theorem via ubiquity	1
Primes represented by shifted quadratic forms: on primitivity and congruence classes	1
Counting torsion points on subvarieties of the algebraic torus	1
Interlacing of zeros of the Eisenstein series for $\varGamma_0^+(2)$	1
Certain Diophantine equations and new parity results for 21-regular partitions	1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$	1
An omega-result for Beurling generalized integers	1
The cubic Pell equation $L$-function	1
Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem	1
Birch’s theorem on forms in many variables with a Hessian condition	1
Additive decomposition of signed primes	1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I	1
Families of cyclic quartic monogenic polynomials	1
Torsion and exceptional units	1
Sato–Tate groups and distributions of yℓ=x(xℓ−1)	1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules	1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions	1
Systems of bihomogeneous forms of small bidegree	1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power	1
An upper bound on the least prime for certain modular congruences	1
Sums of 1-, 2- and 3-dimensional Galois representations and modular symbols for GLn/Q	1
On a simple quartic family of Thue equations over imaginary quadratic number fields	1
The Riemann hypothesis for period polynomials of cusp forms	1
The distribution of rational points on conics	1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials	1
On $d$-complete sequences of integers, II	1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series	1
The distribution of $\mathrm{gcd}(n,\varphi(n))$	1