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 2022-08-01 to 2026-08-01.)
ArticleCitations
Forbidden conductors of $L$-functions and continued fractions of particular form9
An explicit Watson–Ichino formula with CM newforms9
Reduction and isogenies of elliptic curves6
A large sieve inequality for characters to quadratic moduli5
Rank distribution in cubic twist families of elliptic curves5
Arboreal Galois groups of rational maps with nonreal Julia sets5
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension5
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders5
On a variance associated with the distribution of real sequences in arithmetic progressions4
The irrationality of a divisor function series of Erdős and Kac4
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields4
Preperiodic points with local rationality conditions in the quadratic unicritical family4
Orders with few rational monogenizations3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants3
Holomorphic Eisenstein series of rational weights and special values of Gamma function3
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$3
Genus theory, governing field, ramification and Frobenius3
The large sieve for self-dual Eisenstein series of varying levels3
Formulas for moments of class numbers in arithmetic progressions3
Defining $\mathbb Z$ using unit groups3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions3
Limit points and discrepancy of the fractional parts of $b^n/n$3
Correlations of Farey fractions with square-free denominators3
Uniqueness conjecture on simultaneous Pell equations3
An asymptotic version of Cobham’s theorem3
Cubic congruences and binary quadratic forms2
Uniform bounds for the number of rational points of bounded height on certain elliptic curves2
A study of monogenity of binomial composition2
Additive bases: change of domain2
On the sum of two powered numbers2
Finiteness of solutions to linear Diophantine equations on Piatetski-Shapiro sequences2
Primes of higher degree2
Correspondance de Langlands locale $p$-adique et anneaux de Kisin2
Exponential sum bound of Mordell and Hua2
Diophantine approximation with constraints2
Zeta functions of quadratic Artin–Schreier curves in characteristic two2
The Erdős distinct subset sums problem in a modular setting2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$2
Local conductor bounds for modular abelian varieties2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields2
Congruences for modular forms and applications to crank functions2
On the quartic surface x4+y4=z4+w42
Tetraelliptic modular curves $X_1(N)$2
Addendum and corrigendum to the paper “Nonlinear twists and moments of L-functions” (Acta Arith. 214 (2024), 153–171)2
A new bound for Erdős’ minimum overlap problem2
On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set2
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses2
Explicit Hecke eigenform product identities for Hilbert modular forms1
The Thue–Morse continued fractions in characteristic 2 are algebraic1
On the structure of even $K$-groups of rings of algebraic integers1
Number of equivalence classes of rational functions over finite fields1
Kida’s formula for graphs with ramifications1
Bad witnesses for a composite number1
A system of certain linear Diophantine equations on analogs of squares1
On simultaneous approximation to a real number, its square, and its cube, II1
Two problems on the greatest prime factor of $n^2+1$1
Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions1
Indices of nilpotency in certain spaces of modular forms1
On finite field analogues of determinants involving the Beta function1
On a Kurzweil type theorem via ubiquity1
Primes represented by shifted quadratic forms: on primitivity and congruence classes1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms1
Interlacing of zeros of the Eisenstein series for $\varGamma_0^+(2)$1
Remarks on sums of reciprocals of fractional parts1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$1
Quadratic points on the Fermat quartic over number fields1
An omega-result for Beurling generalized integers1
Solutions to a Romanoff type problem1
Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem1
p-Integrality of canonical coordinates1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials1
Torsion and exceptional units1
On Euler’s magic matrices of sizes 3 and 81
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules1
Systems of bihomogeneous forms of small bidegree1
Unramified extensions of quadratic number fields with Galois group 2.An1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$1
An upper bound on the least prime for certain modular congruences1
Sums of 1-, 2- and 3-dimensional Galois representations and modular symbols for GLn/Q1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond1
The Riemann hypothesis for period polynomials of cusp forms1
The distribution of rational points on conics1
Courbes de Fermat et principe de Hasse1
On the number of irreducible representations of $\mathfrak{su}(3)$1
On $d$-complete sequences of integers, II1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)1
The distribution of $\mathrm{gcd}(n,\varphi(n))$1
Counting torsion points on subvarieties of the algebraic torus1
The multiplication table constant and sums of two squares1
Certain Diophantine equations and new parity results for 21-regular partitions1
Genus theory of $p$-adic pseudo-measures, Hilbert kernels and abelian $p$-ramification1
The cubic Pell equation $L$-function1
Refinements on vertical Sato–Tate1
Birch’s theorem on forms in many variables with a Hessian condition1
Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip1
Additive decomposition of signed primes1
Level-13 theta function identities of Ramanujan and applications1
Families of cyclic quartic monogenic polynomials1
Density versions of the binary Goldbach problem1
Maximum values of multiplicative functions on short intervals1
Sato–Tate groups and distributions of yℓ=x(xℓ−1)1
Covering systems with large moduli associated with reducible shifts of integer polynomials1
On the conical zeta values and the Dedekind zeta values for totally real fields1
Monogenic cyclic trinomials of the form $x^4+cx+d$1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions1
Classes de Steinitz d’extensions galoisiennes non ramifiées1
On interpolated multiple $L$-values1
A note on Laurent’s paper on linear forms in two logarithms: the argument of an algebraic power1
On a simple quartic family of Thue equations over imaginary quadratic number fields1
On products of prime powers in linear recurrence sequences1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials1
Product formula of Artin symbols in non-abelian extensions1
Shimura lift of Rankin–Cohen brackets of eigenforms and theta series1
Conditional lower bounds on the distribution of central values in families of $L$-functions1
On the convergence of certain indefinite theta series1
On generalized Narkiewicz constants of finite abelian groups1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers1
Torsion of rational elliptic curves over the cyclotomic extensions of Q1
Irreducibility of polynomials defining parabolic parameters of period 30
Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T]$0
Blocking sets and power residues modulo integers with bounded number of prime factors0
On the second moment of twisted higher degree L-functions0
On the ratio between two factorization functions0
Lacunary sequences whose reciprocal sums represent all rational numbers in an interval0
Metrical results on the geometry of best approximations for a linear form, I0
Nonlinear twists and moments of $L$-functions0
Note on a conjecture of Hildebrand regarding friable integers0
Another Waring–Goldbach problem0
The least common multiple of polynomial values over function fields0
On the expected number of roots of a random Dirichlet polynomial0
Multiple zeta functions at regular integer points0
Ramanujan–Sato series for $1/\pi $0
The structure of sequences with zero-sum subsequences of the same length on finite abelian groups of rank two0
Lagrange-like spectrum of perfect additive complements0
New zero-density estimates for the Beurling zeta function0
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function0
The Pell sequence and cyclotomic matrices involving squares over finite fields0
Traces of Poincaré series at square discriminants and Fourier coefficients of mock modular forms0
ECM and the Elliott–Halberstam conjecture for quadratic fields0
On the Field Isomorphism Problem for the family of simplest quartic fields0
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms0
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
Cube Diophantine triples and elliptic curves0
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series0
A counterexample to the Pellian equation conjecture of Mordell0
Squarefree density of polynomials0
Noncommutative weak type estimate of Vilenkin derivatives0
Effective convergence of coranks of random Rédei matrices0
The distribution of defective multivariate polynomial systems over a finite field0
Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank0
Bessel models of depth zero supercuspidals of GSp(4)0
Weighted Erdős–Kac theorems via computing moments0
On the Pythagoras number of the simplest cubic fields0
On the zeros of reciprocal Littlewood polynomials0
Weighted Erdős–Kac type theorems in short intervals0
The non-unit conjecture for Misiurewicz parameters0
Quaternary quadratic forms with prime discriminant0
Diophantine approximation and primitive prime divisors in random iterations0
A note on p-adic higher Mahler measures0
Bogomolov property of some infinite nonabelian extensions of a totally $v$-adic field0
Existence of normal elements with prescribed norms0
Representing an integer and its powers in two unrelated number systems0
Arbitrarily long strings of consecutive primes in special sets0
Monogenic polynomials having squarefull discriminant0
Character sums and the Riemann Hypothesis0
Criteria for the integrality of $n$th roots of power series0
Ultra-short sums of trace functions0
Odd prime power values of Fourier coefficients of Hecke eigenforms0
Tetragonal intermediate modular curves0
On automorphisms of some semidirect product groups and ranks of Iwasawa modules0
Diophantine equations for Littlewood polynomials0
Lower bounds for the modified Szpiro ratio0
A note on integers expressible as the sum of three squares of primes0
Almost primes and primes that are sums of two squares plus 10
Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus0
A note on transcendence of special values of functions related to modularity0
Solution to a problem of Luca, Menares and Pizarro-Madariaga0
Minimal additive complements for {m,h}-sets with h≡1 (mod m)0
Correlation and lower bounds of arithmetic expressions0
Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions0
Effective $S$-unit equations beyond three terms: Newman’s Conjecture0
A new problem from zero-sum theory0
On $d$-complete sequences modulo $l$0
A characterization of half-factorial orders in algebraic number fields0
A random variable related to the Hurwitz zeta-function with algebraic parameter0
Number of integers represented by families of binary forms (I)0
On Krull–Schmidt decompositions of unit groups of number fields0
On Ihara’s conjectures for Euler–Kronecker constants0
Some remarks on the reduction map for Drinfeld modules0
Elliptic integrals and transcendence0
Monogenity for certain non-cyclic abelian extension fields0
Some ergodic theorems over squarefree numbers and squarefull numbers0
Strong approximation and Hasse principle for integral quadratic forms over affine curves0
Determining t-motives and dual t-motives in Anderson’s theory0
Solutions of certain meta-Fibonacci recurrences0
Number of integers represented by families of binary forms (II): binomial forms0
Congruences between Markov numbers0
Towards the Colmez Conjecture0
Artin’s primitive root conjecture in number fields and for matrices0
Canonical liftings of Edwards curves0
Density of rational points on a certain biprojective hypersurface0
On asymptotically automatic sequences0
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser0
When Euler met Brun0
On Mahler’s inequality and small integral generators of totally complex number fields0
Simultaneously preperiodic points for families of polynomials in characteristic p0
Northcott numbers for generalized weighted Weil heights0
On two uniform exponents of approximation related to Wirsing’s problem0
An application of counting ideals in ray classes0
Fourier coefficients of $\mathrm{Sp}(4)$ Eisenstein series0
On a general density theorem0
The least common multiple of a bivariate quadratic sequence0
On zero-sum subsequences of cross number 10
Vanishing properties of Fourier coefficients of holomorphic η-quotients0
Note on the mean value of the Erdős–Hooley Delta-function0
Mean values of ratios of the Riemann zeta function0
Explicit results for Euler’s factorial series in arithmetic progressions under GRH0
One-level density of quadratic twists of $L$-functions0
Convergence to the Plancherel measure of Hecke eigenvalues0
Hermite equivalence of polynomials0
Density versions of Hua’s theorem on sums of five prime squares0
Conjecture cyclotomique et semi-simplicit\xE9 des modules d’Iwasawa0
Tetragonal modular quotients $X_0^+(N)$0
The large sieve revisited0
Rational approximation with generalised $\alpha $-Lüroth expansions0
On additive bases of finite groups0
Toroidal families and averages of L-functions, I0
A reformulated strong multiplicity one theorem0
Pair correlation of Farey fractions with square-free denominators0
Monogenity of the composition of certain polynomials0
Extending Andrews and Newman’s refinement of the Crank–Mex theorem0
Triquadratic 3-rational fields0
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers0
Approximation properties of intermediate β-expansions0
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$0
On the multiplicative independence between $n$ and $\lfloor \alpha n\rfloor $0
On the largest prime factors of consecutive square-free integers0
Sifting for small split primes of an imaginary quadratic field in a given ideal class0
Zagier duality for real weights0
Growth rates of sequences governed by the squarefree properties of their translates0
Extreme values of the Riemann zeta function at its critical points in the critical strip0
Large values of $n/\varphi (n)$ and $\sigma (n)/n$0
On the distance between factorials and repunits0
Jacobi symbols on class groups of quadratic forms0
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$0
Multiplicatively reducible subsets of shifted perfect $k$th powers and bipartite Diophantine tuples0
Rectangular shrinking targets for $\mathbb Z^m$ actions on tori: well and badly approximable systems0
Selberg’s sieve of irregular density0
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