Acta Arithmetica

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 2021-09-01 to 2025-09-01.)
ArticleCitations
An explicit Watson–Ichino formula with CM newforms9
Rank distribution in cubic twist families of elliptic curves8
Forbidden conductors of $L$-functions and continued fractions of particular form7
Reduction and isogenies of elliptic curves7
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders6
Bilinear sums of Gauss sums5
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields4
The large sieve for self-dual Eisenstein series of varying levels4
The irrationality of a divisor function series of Erdős and Kac4
Preperiodic points with local rationality conditions in the quadratic unicritical family4
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants4
On a variance associated with the distribution of real sequences in arithmetic progressions4
Orders with few rational monogenizations4
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension4
Formulas for moments of class numbers in arithmetic progressions3
Holomorphic Eisenstein series of rational weights and special values of Gamma function3
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$3
Limit points and discrepancy of the fractional parts of $b^n/n$3
Tetraelliptic modular curves $X_1(N)$3
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$3
Defining $\mathbb Z$ using unit groups3
Uniqueness conjecture on simultaneous Pell equations3
A new bound for Erdős’ minimum overlap problem3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions2
Zeta functions of quadratic Artin–Schreier curves in characteristic two2
The Erdős distinct subset sums problem in a modular setting2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses2
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces2
Congruences for modular forms and applications to crank functions2
p-Integrality of canonical coordinates2
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)2
A new diophantine equation involving fifth powers2
A geometric linear Chabauty comparison theorem2
An asymptotic version of Cobham’s theorem2
On sums of Hecke eigenvalue squares over primesin very short intervals2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set2
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields2
Exponential sum bound of Mordell and Hua2
On the sum of two powered numbers2
Local conductor bounds for modular abelian varieties2
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields2
Coprimality of Fourier coefficients of eigenforms2
Small gaps between three almost primes and almost prime powers2
Correspondance de Langlands locale $p$-adique et anneaux de Kisin2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields2
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 curves2
Diophantine approximation with constraints2
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem1
The Thue–Morse continued fractions in characteristic 2 are algebraic1
Maximum values of multiplicative functions on short intervals1
On a problem of Romanoff type1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions1
On the number of irreducible representations of $\mathfrak{su}(3)$1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points1
Primes with one excluded digit1
On the conical zeta values and the Dedekind zeta values for totally real fields1
The density of elliptic Dedekind sums1
Remarks on sums of reciprocals of fractional parts1
The index of degeneracy of a CM abelian variety can be arbitrarily large1
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units1
Refinements on vertical Sato–Tate1
Remarks on continued fractions with finitely many digits1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials1
Most elliptic curves over global function fields are torsion free1
Bad witnesses for a composite number1
Modularity of special cycles on unitary Shimura varieties over CM-fields1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$1
Systems of bihomogeneous forms of small bidegree1
On the convergence of certain indefinite theta series1
Upper bounds on the heights of polynomials and rational fractions from their values1
On the structure of even $K$-groups of rings of algebraic integers1
Two problems on the greatest prime factor of $n^2+1$1
Number of equivalence classes of rational functions over finite fields1
Finiteness of elasticities of orders in central simple algebras1
A note on pencils of norm-form equations1
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 41
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond1
On a Kurzweil type theorem via ubiquity1
Density versions of the binary Goldbach problem1
On a simple quartic family of Thue equations over imaginary quadratic number fields1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series1
The cubic Pell equation $L$-function1
Solutions to a Romanoff type problem1
Elliptic curves with conductor having $n$ prime factors1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)1
Additive decomposition of signed primes1
The Hilbert property for arithmetic schemes1
On the distribution of reduced fractions with squarefree denominators1
Coincidence of $L$-functions1
On the root numbers of abelian varieties with real multiplication1
Monogenic cyclic trinomials of the form $x^4+cx+d$1
Point sets with optimal order of extreme and periodic discrepancy1
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves1
On interpolated multiple $L$-values1
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves1
Algebraic independence of certain entire functions of two variables generated by linear recurrences1
Linear equations with two variables in Piatetski-Shapiro sequences1
A system of certain linear Diophantine equations on analogs of squares1
Counting torsion points on subvarieties of the algebraic torus1
Classes de Steinitz d’extensions galoisiennes non ramifiées1
On the leading constant in the Manin-type conjecture for Campana points1
Level-13 theta function identities of Ramanujan and applications1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms1
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers1
Certain Diophantine equations and new parity results for 21-regular partitions1
An upper bound on the least prime for certain modular congruences1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 21
Sieving intervals and Siegel zeros1
Hecke operators acting on optimal embeddings in indefinite quaternion algebras1
The Riemann hypothesis for period polynomials of cusp forms1
The asymptotics of nilpotent Galois groups1
Solvable lattice sums and quadratic Dirichlet $L$-values1
Torsion and exceptional units1
Covering systems with large moduli associated with reducible shifts of integer polynomials1
Extending a problem of Pillai to Gaussian lines1
On simultaneous approximation to a real number, its square, and its cube, II1
The distribution of rational points on conics1
Families of cyclic quartic monogenic polynomials1
0.099004983901978