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 2021-11-01 to 2025-11-01.)

Article	Citations
An explicit Watson–Ichino formula with CM newforms	10
Forbidden conductors of $L$-functions and continued fractions of particular form	9
Rank distribution in cubic twist families of elliptic curves	8
Reduction and isogenies of elliptic curves	8
Arboreal Galois groups of rational maps with nonreal Julia sets	7
Bilinear sums of Gauss sums	6
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	5
The irrationality of a divisor function series of Erdős and Kac	5
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension	5
Orders with few rational monogenizations	4
The large sieve for self-dual Eisenstein series of varying levels	4
On a variance associated with the distribution of real sequences in arithmetic progressions	4
Preperiodic points with local rationality conditions in the quadratic unicritical family	4
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	4
Defining $\mathbb Z$ using unit groups	4
Correlations of Farey fractions with square-free denominators	3
Uniqueness conjecture on simultaneous Pell equations	3
Coprimality of Fourier coefficients of eigenforms	3
Tetraelliptic modular curves $X_1(N)$	3
Formulas for moments of class numbers in arithmetic progressions	3
Genus theory, governing field, ramification and Frobenius	3
Zeta functions of quadratic Artin–Schreier curves in characteristic two	3
An asymptotic version of Cobham’s theorem	3
Limit points and discrepancy of the fractional parts of $b^n/n$	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
Factorial-type recurrence relations and $p$-adic incomplete gamma functions	3
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$	3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	3
On the sum of two powered numbers	2
On sums of Hecke eigenvalue squares over primesin very short intervals	2
Additive bases: change of domain	2
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields	2
A new diophantine equation involving fifth powers	2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set	2
Exponential sum bound of Mordell and Hua	2
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)	2
Uniform bounds for the number of rational points of bounded height on certain elliptic curves	2
Small gaps between three almost primes and almost prime powers	2
Local conductor bounds for modular abelian varieties	2
The Erdős distinct subset sums problem in a modular setting	2
A new bound for Erdős’ minimum overlap problem	2
On the quartic surface x4+y4=z4+w4	2
Additive decomposition of signed primes	2
Birch’s theorem on forms in many variables with a Hessian condition	2
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials	2
Correspondance de Langlands locale $p$-adique et anneaux de Kisin	2
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)	2
Diophantine approximation with constraints	2
A geometric linear Chabauty comparison theorem	2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses	2
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields	2
Hecke operators acting on optimal embeddings in indefinite quaternion algebras	2
p-Integrality of canonical coordinates	2
Congruences for modular forms and applications to crank functions	2
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces	2
Finiteness of elasticities of orders in central simple algebras	1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	1
On a problem of Romanoff type	1
Extending a problem of Pillai to Gaussian lines	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
Two problems on the greatest prime factor of $n^2+1$	1
On a simple quartic family of Thue equations over imaginary quadratic number fields	1
On interpolated multiple $L$-values	1
Algebraic independence of certain entire functions of two variables generated by linear recurrences	1
Torsion and exceptional units	1
Elliptic curves with conductor having $n$ prime factors	1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond	1
Bad witnesses for a composite number	1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power	1
The index of degeneracy of a CM abelian variety can be arbitrarily large	1
Density versions of the binary Goldbach problem	1
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves	1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials	1

Modularity of special cycles on unitary Shimura varieties over CM-fields	1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	1
On the root numbers of abelian varieties with real multiplication	1
Solutions to a Romanoff type problem	1
The Riemann hypothesis for period polynomials of cusp forms	1
An upper bound on the least prime for certain modular congruences	1
The asymptotics of nilpotent Galois groups	1
Maximum values of multiplicative functions on short intervals	1
Primes with one excluded digit	1
A note on pencils of norm-form equations	1
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units	1
Monogenic cyclic trinomials of the form $x^4+cx+d$	1
Counting torsion points on subvarieties of the algebraic torus	1
On the distribution of reduced fractions with squarefree denominators	1
The Thue–Morse continued fractions in characteristic 2 are algebraic	1
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves	1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules	1
Remarks on continued fractions with finitely many digits	1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points	1
Level-13 theta function identities of Ramanujan and applications	1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$	1
The cubic Pell equation $L$-function	1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms	1
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor	1
Remarks on sums of reciprocals of fractional parts	1
Coincidence of $L$-functions	1
On the conical zeta values and the Dedekind zeta values for totally real fields	1
Most elliptic curves over global function fields are torsion free	1
Families of cyclic quartic monogenic polynomials	1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2	1
Kida’s formula for graphs with ramifications	1
Upper bounds on the heights of polynomials and rational fractions from their values	1
A system of certain linear Diophantine equations on analogs of squares	1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$	1
Certain Diophantine equations and new parity results for 21-regular partitions	1
Point sets with optimal order of extreme and periodic discrepancy	1
The distribution of rational points on conics	1
On the convergence of certain indefinite theta series	1
Sieving intervals and Siegel zeros	1
Number of equivalence classes of rational functions over finite fields	1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions	1
On simultaneous approximation to a real number, its square, and its cube, II	1
On the leading constant in the Manin-type conjecture for Campana points	1
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem	1
On the number of irreducible representations of $\mathfrak{su}(3)$	1
On the structure of even $K$-groups of rings of algebraic integers	1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)	1
Solvable lattice sums and quadratic Dirichlet $L$-values	1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series	1
Refinements on vertical Sato–Tate	1
Systems of bihomogeneous forms of small bidegree	1
The Hilbert property for arithmetic schemes	1
The density of elliptic Dedekind sums	1