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 2020-11-01 to 2024-11-01.)

Article	Citations
The monogeneity of radical extensions	18
Some new infinite families of monogenic polynomials with non-squarefree discriminant	13
On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields	8
Efficient congruencing in ellipsephic sets: the quadratic case	7
Fermat’s Last Theorem and modular curves over real quadratic fields	7
On sums of sums involving squarefull numbers	6
Further bounds in the polynomial Szemer	6
On the invariant $\mathsf E(G)$ for groups of odd order	6
Extreme and periodic $L_2$ discrepancy of plane point sets	6
A large sieve inequality for power moduli	5
Low-degree permutation rational functions over finite fields	5
Metric results on summatory arithmetic functions on Beatty sets	4
On the leading constant in the Manin-type conjecture for Campana points	4
Heights and isogenies of Drinfeld modules	4
Remarks on the Selberg–Delange method	4
Fourier coefficients of level 1 Hecke eigenforms	4
Moments and distribution of values of $L$-functions over function fields inside the critical strip	4
On the algebraicity of Thue–Morse and period-doubling continued fractions	4
On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$	3
Periodic continued fractions over $S$-integers in number fields and Skolem’s $p$-adic method	3
On a theorem of Davenport and Schmidt	3
Binary polynomial power sums vanishing at roots of unity	3
Point sets with optimal order of extreme and periodic discrepancy	3
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$	3
On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series	3

Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions	3
Rational points and ramified covers of products of two elliptic curves	3
Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6	3
The equation $(x-d)^5+x^5+(x+d)^5=y^n$	3
Stirling numbers and periodic points	3
Diophantine tuples over $\mathbb {Z}_p$	3
Weierstrass semigroups at every point of the Suzuki curve	3
On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups	3
Primes with one excluded digit	3
Uniformity norms, their weaker versions, and applications	3
Profinite commensurability of $S$-arithmetic groups	2
Explicit small heights in infinite non-abelian extensions	2
À propos d’une version faible du problème inverse de Galois	2
Modularity of special cycles on unitary Shimura varieties over CM-fields	2
On the genesis of BBP formulas	2
Counting finite index subrings of $\mathbb Z^n$	2
Linear independence criteria for generalized polylogarithms with distinct shifts	2
On the class number of a real abelian field of prime conductor	2
The first moment of quadratic twists of modular $L$-functions	2
On a problem of Romanoff type	2
On constant terms of Eisenstein series	2
On extreme values for the Sudler product of quadratic irrationals	2
On products of primes and almost primes in arithmetic progressions	2
A note on sum-product estimates over finite valuation rings	2
Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$	2
Skolem’s conjecture confirmed for a family of exponential equations, II	2
On smooth Weyl sums over biquadrates and Waring’s problem	2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	2
Solubility of additive forms of twice odd degree over ramified quadratic extensions of $\mathbb {Q}_2$	2
A geometric linear Chabauty comparison theorem	2
On a Kurzweil type theorem via ubiquity	2
Small gaps and small spacings between zeta zeros	2
Quadratic fields with a class group of large 3-rank	2
Norm form equations with solutions taking values in a multi-recurrence	2
The standard twist of $L$-functions revisited	2
Optimality for the two-parameter quadratic sieve	2
Average Bateman–Horn for Kummer polynomials	2
Hegyvári’s theorem on complete sequences, II	2
Independent relative units of low height	2
Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$	2
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves	2
Galois symbol maps for abelian varieties over a $p$-adic field	1
Misiurewicz polynomials for rational maps with nontrivial automorphisms	1
Zagier duality for real weights	1
A new bound for Erdős’ minimum overlap problem	1
Upper bounds on the heights of polynomials and rational fractions from their values	1
$G$-bundles on the absolute Fargues–Fontaine curve	1
Uniform explicit Stewart theorem on prime factors of linear recurrences	1
The reciprocal sum of divisors of Mersenne numbers	1
Ramanujan–Sato series for $1/\pi $	1

Statistics for $p$-ranks of Artin–Schreier covers	1
On the discrepancy of random subsequences of $\{n\alpha \}$, II	1
Sieving intervals and Siegel zeros	1
Annulateurs de Stickelberger des groupes de classes logarithmiques	1
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers	1
Asymmetric estimates and the sum-product problems	1
Polynomial moments with a weighted zeta square measure on the critical line	1
Primitive divisors of elliptic divisibility sequences for elliptic curves with $j=1728$	1
Romanoff's theorem for polynomials over finite fields revisited	1
Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2	1
A note on the pair correlation of Farey fractions	1
On polynomials with roots modulo almost all primes	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$	1
Gaussian behavior of quadratic irrationals	1
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices	1
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law	1
The multiplication table constant and sums of two squares	1
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$	1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2	1
Supercongruences and binary quadratic forms	1
Bilinear sums of Gauss sums	1
Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$	1
Heights of polynomials over lemniscates	1
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands}	1
Kolyvagin's work and anticyclotomic tower fields: the supersingular case	1
On universal norms for $p$-adic representations in higher-rank Iwasawa theory	1
Multiplicative complements I	1
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	1
Class number problem for a family of real quadratic fields	1
Selberg’s sieve of irregular density	1
The density of elliptic Dedekind sums	1
Diophantine equations for Littlewood polynomials	1
On Ihara’s conjectures for Euler–Kronecker constants	1
Subconvexity for twisted GL$_3$ $L$-functions	1
Trielliptic modular curves $X_1(N)$	1
On orders in quadratic number fields with unusual sets of distances	1
The Thue–Morse continued fractions in characteristic 2 are algebraic	1
Cyclotomic factors of necklace polynomials	1
The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields	1
The Hilbert property for arithmetic schemes	1
The index of degeneracy of a CM abelian variety can be arbitrarily large	1
Coincidence of $L$-functions	1
Additive double character sums over some structured sets and applications	1
Algebraic independence of certain entire functions of two variables generated by linear recurrences	1
Elliptic and abelian period spaces	1
On the zeros of certain weakly holomorphic modular forms for ${\varGamma }_0^+(5)$ and ${\varGamma }_0^+(7)$	1
On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms	1
Dimension formulas for modular form spaces with character for Fricke groups	1
Smooth numbers in Beatty sequences	1
The asymptotics of nilpotent Galois groups	1
Hyperbolicity of the moduli of certain Fano threefolds	1
Coprimality of Fourier coefficients of eigenforms	1
Generalized difference sets and autocorrelation integrals	1
Joint distribution in residue classes of polynomial-like multiplicative functions	1
Orders with few rational monogenizations	1
Extreme values of the Riemann zeta function at its critical points in the critical strip	1
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem	1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)	1
Small gaps between three almost primes and almost prime powers	1
Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes	1
On the sum of two powered numbers	1
One-level density of quadratic twists of $L$-functions	1
Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus	1
Uniform bounds for the number of rational points on symmetric squares of curves with low Mordell–Weil rank	1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points	1
A proof of Newman’s conjecture for the extended Selberg class	1
Additive decomposition of signed primes	1
A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach problem and the Generalized Twin Prime Problem	1
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$	1