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 2021-07-01 to 2025-07-01.)
ArticleCitations
Bilinear sums of Gauss sums8
An explicit Watson–Ichino formula with CM newforms7
Rank distribution in cubic twist families of elliptic curves7
Reduction and isogenies of elliptic curves6
Forbidden conductors of $L$-functions and continued fractions of particular form6
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders5
Preperiodic points with local rationality conditions in the quadratic unicritical family4
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension4
On a variance associated with the distribution of real sequences in arithmetic progressions4
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields4
The irrationality of a divisor function series of Erdős and Kac4
Tetraelliptic modular curves $X_1(N)$3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants3
Formulas for moments of class numbers in arithmetic progressions3
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$3
Limit points and discrepancy of the fractional parts of $b^n/n$3
Orders with few rational monogenizations3
Defining $\mathbb Z$ using unit groups3
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields3
Holomorphic Eisenstein series of rational weights and special values of Gamma function3
The large sieve for self-dual Eisenstein series of varying levels3
Uniqueness conjecture on simultaneous Pell equations3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$2
Zeta functions of quadratic Artin–Schreier curves in characteristic two2
Local conductor bounds for modular abelian varieties2
On sums of Hecke eigenvalue squares over primesin very short intervals2
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields2
The Erdős distinct subset sums problem in a modular setting2
Coprimality of Fourier coefficients of eigenforms2
A new bound for Erdős’ minimum overlap problem2
A new diophantine equation involving fifth powers2
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)2
On the sum of two powered numbers2
Diophantine approximation with constraints2
A geometric linear Chabauty comparison theorem2
An asymptotic version of Cobham’s theorem2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses2
Small gaps between three almost primes and almost prime powers2
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces2
On a simple quartic family of Thue equations over imaginary quadratic number fields1
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 21
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond1
On the root numbers of abelian varieties with real multiplication1
Remarks on continued fractions with finitely many digits1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials1
Bad witnesses for a composite number1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)1
Correspondance de Langlands locale $p$-adique et anneaux de Kisin1
Monogenic cyclic trinomials of the form $x^4+cx+d$1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points1
Density versions of the binary Goldbach problem1
Point sets with optimal order of extreme and periodic discrepancy1
Extending a problem of Pillai to Gaussian lines1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$1
Modularity of special cycles on unitary Shimura varieties over CM-fields1
The cubic Pell equation $L$-function1
Sieving intervals and Siegel zeros1
Solutions to a Romanoff type problem1
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms1
On the leading constant in the Manin-type conjecture for Campana points1
Algebraic independence of certain entire functions of two variables generated by linear recurrences1
Remarks on sums of reciprocals of fractional parts1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules1
The index of degeneracy of a CM abelian variety can be arbitrarily large1
Refinements on vertical Sato–Tate1
Level-13 theta function identities of Ramanujan and applications1
Counting torsion points on subvarieties of the algebraic torus1
The asymptotics of nilpotent Galois groups1
Families of cyclic quartic monogenic polynomials1
Congruences for modular forms and applications to crank functions1
Covering systems with large moduli associated with reducible shifts of integer polynomials1
Uniform bounds for the number of rational points of bounded height on certain elliptic curves1
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 41
On the distribution of reduced fractions with squarefree denominators1
The Riemann hypothesis for period polynomials of cusp forms1
Additive decomposition of signed primes1
On the convergence of certain indefinite theta series1
Certain Diophantine equations and new parity results for 21-regular partitions1
Coincidence of $L$-functions1
The density of elliptic Dedekind sums1
On the number of irreducible representations of $\mathfrak{su}(3)$1
An upper bound on the least prime for certain modular congruences1
On a problem of Romanoff type1
Elliptic curves with conductor having $n$ prime factors1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$1
A note on pencils of norm-form equations1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers1
On simultaneous approximation to a real number, its square, and its cube, II1
Maximum values of multiplicative functions on short intervals1
On the conical zeta values and the Dedekind zeta values for totally real fields1
Upper bounds on the heights of polynomials and rational fractions from their values1
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves1
Torsion and exceptional units1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions1
Exponential sum bound of Mordell and Hua1
Primes with one excluded digit1
Hecke operators acting on optimal embeddings in indefinite quaternion algebras1
The distribution of rational points on conics1
The Hilbert property for arithmetic schemes1
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units1
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor1
Solvable lattice sums and quadratic Dirichlet $L$-values1
Finiteness of elasticities of orders in central simple algebras1
Most elliptic curves over global function fields are torsion free1
Systems of bihomogeneous forms of small bidegree1
A system of certain linear Diophantine equations on analogs of squares1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)1
On the structure of even $K$-groups of rings of algebraic integers1
Two problems on the greatest prime factor of $n^2+1$1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials1
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