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 2022-05-01 to 2026-05-01.)
ArticleCitations
An explicit Watson–Ichino formula with CM newforms8
Forbidden conductors of $L$-functions and continued fractions of particular form8
Arboreal Galois groups of rational maps with nonreal Julia sets5
Reduction and isogenies of elliptic curves5
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders5
Rank distribution in cubic twist families of elliptic curves5
The irrationality of a divisor function series of Erdős and Kac4
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
A large sieve inequality for characters to quadratic moduli4
Preperiodic points with local rationality conditions in the quadratic unicritical family3
The large sieve for self-dual Eisenstein series of varying levels3
Holomorphic Eisenstein series of rational weights and special values of Gamma function3
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields3
Limit points and discrepancy of the fractional parts of $b^n/n$3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants3
Orders with few rational monogenizations3
Formulas for moments of class numbers in arithmetic progressions3
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses2
A new bound for Erdős’ minimum overlap problem2
Correlations of Farey fractions with square-free denominators2
Defining $\mathbb Z$ using unit groups2
Tetraelliptic modular curves $X_1(N)$2
Zeta functions of quadratic Artin–Schreier curves in characteristic two2
On the quartic surface x4+y4=z4+w42
Cubic congruences and binary quadratic forms2
Primes of higher degree2
Additive bases: change of domain2
An asymptotic version of Cobham’s theorem2
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$2
Genus theory, governing field, ramification and Frobenius2
Addendum and corrigendum to the paper “Nonlinear twists and moments of L-functions” (Acta Arith. 214 (2024), 153–171)2
Diophantine approximation with constraints2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set2
Local conductor bounds for modular abelian varieties2
A study of monogenity of binomial composition2
The Erdős distinct subset sums problem in a modular setting2
Factorial-type recurrence relations and $p$-adic incomplete gamma functions2
Uniqueness conjecture on simultaneous Pell equations2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$2
Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences2
On the sum of two powered numbers2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields2
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions1
Additive decomposition of signed primes1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power1
Birch’s theorem on forms in many variables with a Hessian condition1
Refinements on vertical Sato–Tate1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond1
Congruences for modular forms and applications to crank functions1
Level-13 theta function identities of Ramanujan and applications1
Solutions to a Romanoff type problem1
Unramified extensions of quadratic number fields with Galois group 2.An1
The Riemann hypothesis for period polynomials of cusp forms1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms1
On $d$-complete sequences of integers, II1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$1
The distribution of rational points on conics1
Monogenic cyclic trinomials of the form $x^4+cx+d$1
On interpolated multiple $L$-values1
On Euler’s magic matrices of sizes 3 and 81
Two problems on the greatest prime factor of $n^2+1$1
On the structure of even $K$-groups of rings of algebraic integers1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials1
Maximum values of multiplicative functions on short intervals1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$1
Exponential sum bound of Mordell and Hua1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers1
Sato–Tate groups and distributions of yℓ=x(xℓ−1)1
Correspondance de Langlands locale $p$-adique et anneaux de Kisin1
On simultaneous approximation to a real number, its square, and its cube, II1
Kida’s formula for graphs with ramifications1
On the number of irreducible representations of $\mathfrak{su}(3)$1
On the conical zeta values and the Dedekind zeta values for totally real fields1
On a Kurzweil type theorem via ubiquity1
Number of equivalence classes of rational functions over finite fields1
Sums of 1-, 2- and 3-dimensional Galois representations and modular symbols for GLn/Q1
Covering systems with large moduli associated with reducible shifts of integer polynomials1
A system of certain linear Diophantine equations on analogs of squares1
Density versions of the binary Goldbach problem1
On the convergence of certain indefinite theta series1
On finite field analogues of determinants involving the Beta function1
Systems of bihomogeneous forms of small bidegree1
Remarks on sums of reciprocals of fractional parts1
Courbes de Fermat et principe de Hasse1
p-Integrality of canonical coordinates1
Quadratic points on the Fermat quartic over number fields1
Certain Diophantine equations and new parity results for 21-regular partitions1
Uniform bounds for the number of rational points of bounded height on certain elliptic curves1
Torsion and exceptional units1
An upper bound on the least prime for certain modular congruences1
On a simple quartic family of Thue equations over imaginary quadratic number fields1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I1
On generalized Narkiewicz constants of finite abelian groups1
Classes de Steinitz d’extensions galoisiennes non ramifiées1
The Thue–Morse continued fractions in characteristic 2 are algebraic1
Primes represented by shifted quadratic forms: on primitivity and congruence classes1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$1
The cubic Pell equation $L$-function1
Bad witnesses for a composite number1
Counting torsion points on subvarieties of the algebraic torus1
Families of cyclic quartic monogenic polynomials1
Weighted Erdős–Kac type theorems in short intervals0
On products of prime powers in linear recurrence sequences0
Fourier coefficients of $\mathrm{Sp}(4)$ Eisenstein series0
A note on transcendence of special values of functions related to modularity0
Conditional lower bounds on the distribution of central values in families of $L$-functions0
Convergence to the Plancherel measure of Hecke eigenvalues0
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers0
Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus0
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands}0
The least common multiple of polynomial values over function fields0
Monogenity of the composition of certain polynomials0
Zagier duality for real weights0
On the multiplicative independence between $n$ and $\lfloor \alpha n\rfloor $0
The large sieve revisited0
On the largest prime factors of consecutive square-free integers0
Large values of $n/\varphi (n)$ and $\sigma (n)/n$0
On the Pythagoras number of the simplest cubic fields0
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms0
Diophantine approximation and primitive prime divisors in random iterations0
Bogomolov property of some infinite nonabelian extensions of a totally $v$-adic field0
On asymptotically automatic sequences0
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series0
Hermite equivalence of polynomials0
Determining t-motives and dual t-motives in Anderson’s theory0
Rigidity in elliptic curve local-global principles0
New zero-density estimates for the Beurling zeta function0
Criteria for the integrality of $n$th roots of power series0
Density of rational points on a certain biprojective hypersurface0
Class numbers and congruences modulo 8 for a spt function on overpartitions0
Another Waring–Goldbach problem0
Bessel models of depth zero supercuspidals of GSp(4)0
Mean values of ratios of the Riemann zeta function0
Conjecture cyclotomique et semi-simplicit\xE9 des modules d’Iwasawa0
An application of counting ideals in ray classes0
Powers from products of terms in progressions with gaps0
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$0
Artin’s primitive root conjecture in number fields and for matrices0
Elliptic integrals and transcendence0
Tetragonal intermediate modular curves0
Weak transcendence in positive characteristic and hypergeometric functions for function fields0
Some ergodic theorems over squarefree numbers and squarefull numbers0
ECM and the Elliott–Halberstam conjecture for quadratic fields0
Torsion of rational elliptic curves over the cyclotomic extensions of Q0
Squarefree density of polynomials0
Ultra-short sums of trace functions0
A characterization of half-factorial orders in algebraic number fields0
Interlacing of zeros of the Eisenstein series for $\varGamma_0^+(2)$0
Existence of normal elements with prescribed norms0
Note on a conjecture of Hildebrand regarding friable integers0
An omega-result for Beurling generalized integers0
Metrical results on the geometry of best approximations for a linear form, I0
On Ihara’s conjectures for Euler–Kronecker constants0
On the expected number of roots of a random Dirichlet polynomial0
Tetragonal modular quotients $X_0^+(N)$0
Almost primes and primes that are sums of two squares plus 10
Cube Diophantine triples and elliptic curves0
Ramanujan–Sato series for $1/\pi $0
Rectangular shrinking targets for $\mathbb Z^m$ actions on tori: well and badly approximable systems0
Lagrange-like spectrum of perfect additive complements0
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function0
Weighted Erdős–Kac theorems via computing moments0
Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank0
Sifting for small split primes of an imaginary quadratic field in a given ideal class0
On the zeros of reciprocal Littlewood polynomials0
On Mahler’s inequality and small integral generators of totally complex number fields0
On the distance between factorials and repunits0
Toroidal families and averages of L-functions, I0
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser0
Solution to a problem of Luca, Menares and Pizarro-Madariaga0
On the Field Isomorphism Problem for the family of simplest quartic fields0
Some remarks on the reduction map for Drinfeld modules0
A counterexample to the Pellian equation conjecture of Mordell0
On two uniform exponents of approximation related to Wirsing’s problem0
Average Bateman–Horn for Kummer polynomials0
Fermat pseudoprimes0
Extreme values of the Riemann zeta function at its critical points in the critical strip0
Strong approximation and Hasse principle for integral quadratic forms over affine curves0
On a general density theorem0
Odd prime power values of Fourier coefficients of Hecke eigenforms0
Lacunary sequences whose reciprocal sums represent all rational numbers in an interval0
The 2-adic valuations of the algebraic central L-values for quadratic twists of weight 2 newforms0
Number of integers represented by families of binary forms (II): binomial forms0
Jacobi symbols on class groups of quadratic forms0
The distribution of defective multivariate polynomial systems over a finite field0
The Minkowski sum of linear Cantor sets0
On the factorization of lacunary polynomials0
Involutions of curves in abelian surfaces and their Jacobians0
Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions0
Genus theory of $p$-adic pseudo-measures, Hilbert kernels and abelian $p$-ramification0
On a comparison of Cassels pairings of different elliptic curves0
A note on p-adic higher Mahler measures0
Northcott numbers for generalized weighted Weil heights0
Product formula of Artin symbols in non-abelian extensions0
Hyperbolic summation for fractional sums0
The least common multiple of a bivariate quadratic sequence0
Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T]$0
Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions0
Character sums and the Riemann Hypothesis0
Multiple zeta functions at regular integer points0
Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip0
On automorphisms of some semidirect product groups and ranks of Iwasawa modules0
Effective $S$-unit equations beyond three terms: Newman’s Conjecture0
Diophantine equations for Littlewood polynomials0
Chromatic number of spacetime0
Note on the mean value of the Erdős–Hooley Delta-function0
Noncommutative weak type estimate of Vilenkin derivatives0
Triquadratic 3-rational fields0
Pair correlation of Farey fractions with square-free denominators0
Correlation and lower bounds of arithmetic expressions0
Lower bounds for the modified Szpiro ratio0
Congruences between Markov numbers0
Solutions of certain meta-Fibonacci recurrences0
On $d$-complete sequences modulo $l$0
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$0
Multiplicatively reducible subsets of shifted perfect $k$th powers and bipartite Diophantine tuples0
Quaternary quadratic forms with prime discriminant0
Number of integers represented by families of binary forms (I)0
Selberg’s sieve of irregular density0
Irreducibility of polynomials defining parabolic parameters of period 30
Corrigendum to “Explicit estimates for the summatory function of $\varLambda (n)/n$ from the one of $\varLambda(n)$” (Acta Arith. 159 (2013), 113–122)0
Effective convergence of coranks of random Rédei matrices0
Blocking sets and power residues modulo integers with bounded number of prime factors0
On the ratio between two factorization functions0
Rational points on K3 surfaces of degree 20
A note on integers expressible as the sum of three squares of primes0
Traces of Poincaré series at square discriminants and Fourier coefficients of mock modular forms0
Nonlinear twists and moments of $L$-functions0
On zero-sum subsequences of cross number 10
Monogenic polynomials having squarefull discriminant0
On flat even deformation rings0
On gaps between sums of four fourth powers0
On Krull–Schmidt decompositions of unit groups of number fields0
Arbitrarily long strings of consecutive primes in special sets0
Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem0
Multiples of integral points on Mordell curves0
On the second moment of twisted higher degree L-functions0
Rational approximation with generalised $\alpha $-Lüroth expansions0
The multiplication table constant and sums of two squares0
The $a$-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 60
When Euler met Brun0
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
The distribution of $\mathrm{gcd}(n,\varphi(n))$0
A random variable related to the Hurwitz zeta-function with algebraic parameter0
Explicit results for Euler’s factorial series in arithmetic progressions under GRH0
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