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 2021-04-01 to 2025-04-01.)

Article	Citations
Uniformity norms, their weaker versions, and applications	7
On the distribution of reduced fractions with squarefree denominators	6
Modularity of special cycles on unitary Shimura varieties over CM-fields	5
Point sets with optimal order of extreme and periodic discrepancy	4
Primes with one excluded digit	4
Solutions to a Romanoff type problem	4
An identity involving weighted and desingularized multiple zeta functions	4
Weighted Erdős–Kac theorems via computing moments	3
On reduction maps and arithmetic dynamics of Mordell–Weil type groups	3
Transcendence and continued fraction expansion of values of Hecke–Mahler series	3
Forbidden conductors of $L$-functions and continued fractions of particular form	3
Monogenic cyclic trinomials of the form $x^4+cx+d$	3
Quaternary quadratic forms with prime discriminant	3
Reduction and isogenies of elliptic curves	2
A note on integers expressible as the sum of three squares of primes	2
Large values of $n/\varphi (n)$ and $\sigma (n)/n$	2
Bad witnesses for a composite number	2
On asymptotically automatic sequences	2
Solvable lattice sums and quadratic Dirichlet $L$-values	2
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	2
Coincidence of $L$-functions	2
On sums of fractional parts	2
On Mahler’s inequality and small integral generators of totally complex number fields	2
On the structure of even $K$-groups of rings of algebraic integers	2
The asymptotics of nilpotent Galois groups	2

Bilinear sums of Gauss sums	2
Zagier duality for real weights	2
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$	2
On sequences of integers with small prime factors	2
An explicit Watson–Ichino formula with CM newforms	2
A Bombieri–Vinogradov-type theorem for moduli with small radical	2
Upper bounds on the heights of polynomials and rational fractions from their values	2
Remarks on continued fractions with finitely many digits	2
On the one-sided boundedness of the local discrepancy of $\{n\alpha \}$-sequences	2
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	1
Linear equations with two variables in Piatetski-Shapiro sequences	1
On arithmetic nature of special values of the incomplete beta function	1
On the convergence of certain indefinite theta series	1
On the joint second moment of zeta and its logarithmic derivative	1
On a logarithmic sum related to the Selberg sieve	1
Small gaps and small spacings between zeta zeros	1
The Thue–Morse continued fractions in characteristic 2 are algebraic	1
Congruences between Markov numbers	1
Preperiodic points with local rationality conditions in the quadratic unicritical family	1
On Galois–Gauss sums and the square root of the inverse different	1
A note on the pair correlation of Farey fractions	1
The large sieve for self-dual Eisenstein series of varying levels	1
The irrationality of a divisor function series of Erdős and Kac	1
Orders with few rational monogenizations	1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions)	1
Rectangular shrinking targets for $\mathbb Z^m$ actions on tori: well and badly approximable systems	1
The distribution of rational points on conics	1
Subconvexity for twisted GL$_3$ $L$-functions	1
A Bombieri–Vinogradov-type theorem with prime power moduli	1
On a Kurzweil type theorem via ubiquity	1
Squarefree density of polynomials	1
Pair correlation of Farey fractions with square-free denominators	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
On the multiplicative independence between $n$ and $\lfloor \alpha n\rfloor $	1
The Mahler measure of a multivariate polynomial family with non-linear degree	1
Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$	1
Effective convergence of coranks of random Rédei matrices	1
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	1
On the Pythagoras number of the simplest cubic fields	1
Holomorphic Eisenstein series of rational weights and special values of Gamma function	1
Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank	1
Extending a problem of Pillai to Gaussian lines	1
Defining $\mathbb Z$ using unit groups	1
On interpolated multiple $L$-values	1
Artin’s primitive root conjecture in number fields and for matrices	1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I	1
A system of certain linear Diophantine equations on analogs of squares	1
On extreme values for the Sudler product of quadratic irrationals	1
Classes de Steinitz d’extensions galoisiennes non ramifiées	1
An upper bound on the least prime for certain modular congruences	1

Maximum values of multiplicative functions on short intervals	1
Systems of bihomogeneous forms of small bidegree	1
Improved bounds for some $S$-unit equations	1
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices	1
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension	1
On products of primes and almost primes in arithmetic progressions	1
On prime factors of terms of binary recurrence sequences	1
Solutions of certain meta-Fibonacci recurrences	1
On a variance associated with the distribution of real sequences in arithmetic progressions	1
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$	1
A Vorono\xEF–Oppenheim summation formula for number fields	1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$	1
The cubic Pell equation $L$-function	1
On $d$-complete sequences of integers, II	1