Acta Arithmetica

Papers
(The median citation count of Acta Arithmetica is 0. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
An explicit Watson–Ichino formula with CM newforms10
Reduction and isogenies of elliptic curves9
Forbidden conductors of $L$-functions and continued fractions of particular form9
Rank distribution in cubic twist families of elliptic curves8
Bilinear sums of Gauss sums7
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders6
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension5
On a variance associated with the distribution of real sequences in arithmetic progressions5
Arboreal Galois groups of rational maps with nonreal Julia sets5
The irrationality of a divisor function series of Erdős and Kac5
Orders with few rational monogenizations4
The large sieve for self-dual Eisenstein series of varying levels4
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields4
Preperiodic points with local rationality conditions in the quadratic unicritical family4
Limit points and discrepancy of the fractional parts of $b^n/n$4
Tetraelliptic modular curves $X_1(N)$3
An asymptotic version of Cobham’s theorem3
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields3
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$3
Holomorphic Eisenstein series of rational weights and special values of Gamma function3
Defining $\mathbb Z$ using unit groups3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions3
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$3
Zeta functions of quadratic Artin–Schreier curves in characteristic two3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants3
Correlations of Farey fractions with square-free denominators3
Uniqueness conjecture on simultaneous Pell equations3
Coprimality of Fourier coefficients of eigenforms3
A new bound for Erdős’ minimum overlap problem3
Formulas for moments of class numbers in arithmetic progressions3
Genus theory, governing field, ramification and Frobenius3
A study of monogenity of binomial composition2
The Erdős distinct subset sums problem in a modular setting2
Diophantine approximation with constraints2
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces2
Solvable lattice sums and quadratic Dirichlet $L$-values2
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials2
Exponential sum bound of Mordell and Hua2
Correspondance de Langlands locale $p$-adique et anneaux de Kisin2
On the quartic surface x4+y4=z4+w42
Small gaps between three almost primes and almost prime powers2
Local conductor bounds for modular abelian varieties2
Addendum and corrigendum to the paper “Nonlinear twists and moments of L-functions” (Acta Arith. 214 (2024), 153–171)2
A geometric linear Chabauty comparison theorem2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set2
Systems of bihomogeneous forms of small bidegree2
Additive decomposition of signed primes2
Modularity of special cycles on unitary Shimura varieties over CM-fields2
Uniform bounds for the number of rational points of bounded height on certain elliptic curves2
Birch’s theorem on forms in many variables with a Hessian condition2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses2
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)2
A new diophantine equation involving fifth powers2
Additive bases: change of domain2
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
Coincidence of $L$-functions2
Hecke operators acting on optimal embeddings in indefinite quaternion algebras2
p-Integrality of canonical coordinates2
Congruences for modular forms and applications to crank functions2
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields2
On the sum of two powered numbers2
On sums of Hecke eigenvalue squares over primesin very short intervals2
On the structure of even $K$-groups of rings of algebraic integers1
On $d$-complete sequences of integers, II1
Point sets with optimal order of extreme and periodic discrepancy1
Linear equations with two variables in Piatetski-Shapiro sequences1
Counting torsion points on subvarieties of the algebraic torus1
Level-13 theta function identities of Ramanujan and applications1
On a problem of Romanoff type1
Extending a problem of Pillai to Gaussian lines1
Remarks on sums of reciprocals of fractional parts1
The density of elliptic Dedekind sums1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 21
The index of degeneracy of a CM abelian variety can be arbitrarily large1
Maximum values of multiplicative functions on short intervals1
The Hilbert property for arithmetic schemes1
A note on pencils of norm-form equations1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules1
Courbes de Fermat et principe de Hasse1
On the distribution of reduced fractions with squarefree denominators1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$1
Certain Diophantine equations and new parity results for 21-regular partitions1
Elliptic curves with conductor having $n$ prime factors1
On interpolated multiple $L$-values1
On Euler’s magic matrices of sizes 3 and 81
Number of equivalence classes of rational functions over finite fields1
Sieving intervals and Siegel zeros1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$1
Families of cyclic quartic monogenic polynomials1
On a Kurzweil type theorem via ubiquity1
Kida’s formula for graphs with ramifications1
Bad witnesses for a composite number1
Finiteness of elasticities of orders in central simple algebras1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)1
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series1
Algebraic independence of certain entire functions of two variables generated by linear recurrences1
The cubic Pell equation $L$-function1
Refinements on vertical Sato–Tate1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond1
On the number of irreducible representations of $\mathfrak{su}(3)$1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions1
Primes with one excluded digit1
Density versions of the binary Goldbach problem1
On the leading constant in the Manin-type conjecture for Campana points1
Monogenic cyclic trinomials of the form $x^4+cx+d$1
Torsion and exceptional units1
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor1
On a simple quartic family of Thue equations over imaginary quadratic number fields1
The Thue–Morse continued fractions in characteristic 2 are algebraic1
Unramified extensions of quadratic number fields with Galois group 2.An1
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 41
Solutions to a Romanoff type problem1
Classes de Steinitz d’extensions galoisiennes non ramifiées1
An upper bound on the least prime for certain modular congruences1
On the conical zeta values and the Dedekind zeta values for totally real fields1
Sato–Tate groups and distributions of yℓ=x(xℓ−1)1
The distribution of rational points on conics1
A system of certain linear Diophantine equations on analogs of squares1
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
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers1
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves1
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem1
Most elliptic curves over global function fields are torsion free1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points1
Remarks on continued fractions with finitely many digits1
On the root numbers of abelian varieties with real multiplication1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power1
Covering systems with large moduli associated with reducible shifts of integer polynomials1
On simultaneous approximation to a real number, its square, and its cube, II1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$1
The Riemann hypothesis for period polynomials of cusp forms1
Two problems on the greatest prime factor of $n^2+1$1
The asymptotics of nilpotent Galois groups1
On finite field analogues of determinants involving the Beta function1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$1
On the convergence of certain indefinite theta series1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I1
Weighted Erdős–Kac type theorems in short intervals0
Diophantine equations for Littlewood polynomials0
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series0
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers0
Notes on the module of Euler systems for $p$-adic representations0
Effective convergence of coranks of random Rédei matrices0
Explicit results for Euler’s factorial series in arithmetic progressions under GRH0
Conjecture cyclotomique et semi-simplicit\xE9 des modules d’Iwasawa0
On the largest prime factors of consecutive square-free integers0
Character sums and the Riemann Hypothesis0
Subconvexity for twisted GL$_3$ $L$-functions0
Metrical results on the geometry of best approximations for a linear form, I0
On gaps between sums of four fourth powers0
A Vorono\xEF–Oppenheim summation formula for number fields0
On the algebraicity of Thue–Morse and period-doubling continued fractions0
Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus0
Low-degree permutation rational functions over finite fields0
Trielliptic modular curves $X_1(N)$0
Jacobi symbols on class groups of quadratic forms0
Moments and equidistributions of multiplicative analogues of Kloosterman sums0
On smooth Weyl sums over biquadrates and Waring’s problem0
Uniformity norms, their weaker versions, and applications0
Nonlinear twists and moments of $L$-functions0
Irreducibility of polynomials defining parabolic parameters of period 30
A note on p-adic higher Mahler measures0
On Krull–Schmidt decompositions of unit groups of number fields0
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law0
The least common multiple of a bivariate quadratic sequence0
Hermite equivalence of polynomials0
On two uniform exponents of approximation related to Wirsing’s problem0
Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$0
Multiple zeta functions at regular integer points0
Weighted Erdős–Kac theorems via computing moments0
Density of rational points on a certain biprojective hypersurface0
On $d$-complete sequences modulo $l$0
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function0
A characterization of half-factorial orders in algebraic number fields0
The distribution of defective multivariate polynomial systems over a finite field0
Traces of Poincaré series at square discriminants and Fourier coefficients of mock modular forms0
On Ihara’s conjectures for Euler–Kronecker constants0
Weierstrass points of modular curves at cusps0
Strong approximation and Hasse principle for integral quadratic forms over affine curves0
Number of integers represented by families of binary forms (II): binomial forms0
On zero-sum subsequences of cross number 10
New zero-density estimates for the Beurling zeta function0
Effective $S$-unit equations beyond three terms: Newman’s Conjecture0
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 Problem0
Artin’s primitive root conjecture in number fields and for matrices0
Cube Diophantine triples and elliptic curves0
The first moment of quadratic twists of modular $L$-functions0
Toroidal families and averages of L-functions, I0
Congruences between Markov numbers0
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser0
Joint distribution in residue classes of polynomial-like multiplicative functions0
A counterexample to the Pellian equation conjecture of Mordell0
Large values of $n/\varphi (n)$ and $\sigma (n)/n$0
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$0
Criteria for the integrality of $n$th roots of power series0
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$0
Mean values of ratios of the Riemann zeta function0
Arbitrarily long strings of consecutive primes in special sets0
When Euler met Brun0
On the expected number of roots of a random Dirichlet polynomial0
Multiplicatively reducible subsets of shifted perfect $k$th powers and bipartite Diophantine tuples0
Uniform explicit Stewart theorem on prime factors of linear recurrences0
Note on a conjecture of Hildebrand regarding friable integers0
Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions0
Solution to a problem of Luca, Menares and Pizarro-Madariaga0
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms0
A note on transcendence of special values of functions related to modularity0
Northcott numbers for generalized weighted Weil heights0
On the ratio between two factorization functions0
Note on the mean value of the Erdős–Hooley Delta-function0
Linear independence criteria for generalized polylogarithms with distinct shifts0
Triquadratic 3-rational fields0
Some remarks on the reduction map for Drinfeld modules0
Extreme values of the Riemann zeta function at its critical points in the critical strip0
Existence of normal elements with prescribed norms0
Ramanujan–Sato series for $1/\pi $0
Bessel models of depth zero supercuspidals of GSp(4)0
The large sieve revisited0
Odd prime power values of Fourier coefficients of Hecke eigenforms0
On extreme values for the Sudler product of quadratic irrationals0
Fourier coefficients of $\mathrm{Sp}(4)$ Eisenstein series0
A study in quantitative equidistribution on the unit square0
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$0
On products of primes and almost primes in arithmetic progressions0
Bounds for moments of modular $L$-functions to a fixed modulus0
Zagier duality for real weights0
Selberg’s sieve of irregular density0
ECM and the Elliott–Halberstam conjecture for quadratic fields0
On a question of Mendès France on normal numbers0
Blocking sets and power residues modulo integers with bounded number of prime factors0
Diophantine approximation and primitive prime divisors in random iterations0
Some ergodic theorems over squarefree numbers and squarefull numbers0
On a general density theorem0
On Mahler’s inequality and small integral generators of totally complex number fields0
Hegyvári’s theorem on complete sequences, II0
Optimality for the two-parameter quadratic sieve0
Ultra-short sums of trace functions0
Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini0
Selmer groups of certain abelian varieties with complex multiplication0
Independent relative units of low height0
Lower bounds for the modified Szpiro ratio0
Rational approximation with generalised $\alpha $-Lüroth expansions0
Bogomolov property of some infinite nonabelian extensions of a totally $v$-adic field0
Number of integers represented by families of binary forms (I)0
The least common multiple of polynomial values over function fields0
0.22033905982971