Acta Arithmetica

Article	Citations
Uniformity norms, their weaker versions, and applications	7
On the distribution of reduced fractions with squarefree denominators	6
Modularity of special cycles on unitary Shimura varieties over CM-fields	5
Primes with one excluded digit	4
Solutions to a Romanoff type problem	4
An identity involving weighted and desingularized multiple zeta functions	4
Point sets with optimal order of extreme and periodic discrepancy	4
Transcendence and continued fraction expansion of values of Hecke–Mahler series	3
Forbidden conductors of $L$-functions and continued fractions of particular form	3
Monogenic cyclic trinomials of the form $x^4+cx+d$	3
Quaternary quadratic forms with prime discriminant	3
Weighted Erdős–Kac theorems via computing moments	3
On reduction maps and arithmetic dynamics of Mordell–Weil type groups	3
On sums of fractional parts	2
On Mahler’s inequality and small integral generators of totally complex number fields	2
On the structure of even $K$-groups of rings of algebraic integers	2
The asymptotics of nilpotent Galois groups	2
Bilinear sums of Gauss sums	2
Zagier duality for real weights	2
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$	2
On sequences of integers with small prime factors	2
An explicit Watson–Ichino formula with CM newforms	2
A Bombieri–Vinogradov-type theorem for moduli with small radical	2
Upper bounds on the heights of polynomials and rational fractions from their values	2
Remarks on continued fractions with finitely many digits	2

On the one-sided boundedness of the local discrepancy of $\{n\alpha \}$-sequences	2
Reduction and isogenies of elliptic curves	2
A note on integers expressible as the sum of three squares of primes	2
Large values of $n/\varphi (n)$ and $\sigma (n)/n$	2
Bad witnesses for a composite number	2
On asymptotically automatic sequences	2
Solvable lattice sums and quadratic Dirichlet $L$-values	2
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	2
Coincidence of $L$-functions	2
Squarefree density of polynomials	1
Pair correlation of Farey fractions with square-free denominators	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
On the multiplicative independence between $n$ and $\lfloor \alpha n\rfloor $	1
The Mahler measure of a multivariate polynomial family with non-linear degree	1
Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$	1
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	1
On the Pythagoras number of the simplest cubic fields	1
Holomorphic Eisenstein series of rational weights and special values of Gamma function	1
Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank	1
Extending a problem of Pillai to Gaussian lines	1
Defining $\mathbb Z$ using unit groups	1
Effective convergence of coranks of random Rédei matrices	1
On interpolated multiple $L$-values	1
Artin’s primitive root conjecture in number fields and for matrices	1
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I	1
A system of certain linear Diophantine equations on analogs of squares	1
On extreme values for the Sudler product of quadratic irrationals	1
Classes de Steinitz d’extensions galoisiennes non ramifiées	1
An upper bound on the least prime for certain modular congruences	1
Maximum values of multiplicative functions on short intervals	1
Systems of bihomogeneous forms of small bidegree	1
Improved bounds for some $S$-unit equations	1
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices	1
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension	1
On products of primes and almost primes in arithmetic progressions	1
On prime factors of terms of binary recurrence sequences	1
Solutions of certain meta-Fibonacci recurrences	1
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$	1
On a variance associated with the distribution of real sequences in arithmetic progressions	1
A Vorono\xEF–Oppenheim summation formula for number fields	1
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$	1
The cubic Pell equation $L$-function	1
On $d$-complete sequences of integers, II	1
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	1
Linear equations with two variables in Piatetski-Shapiro sequences	1
On arithmetic nature of special values of the incomplete beta function	1
On the convergence of certain indefinite theta series	1
On the joint second moment of zeta and its logarithmic derivative	1
On a logarithmic sum related to the Selberg sieve	1
Small gaps and small spacings between zeta zeros	1

The Thue–Morse continued fractions in characteristic 2 are algebraic	1
Congruences between Markov numbers	1
Preperiodic points with local rationality conditions in the quadratic unicritical family	1
On Galois–Gauss sums and the square root of the inverse different	1
A note on the pair correlation of Farey fractions	1
The large sieve for self-dual Eisenstein series of varying levels	1
Orders with few rational monogenizations	1
The irrationality of a divisor function series of Erdős and Kac	1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions)	1
Rectangular shrinking targets for $\mathbb Z^m$ actions on tori: well and badly approximable systems	1
The distribution of rational points on conics	1
Subconvexity for twisted GL$_3$ $L$-functions	1
A Bombieri–Vinogradov-type theorem with prime power moduli	1
On a Kurzweil type theorem via ubiquity	1
Metrical results on the geometry of best approximations for a linear form, I	0
Two problems on the greatest prime factor of $n^2+1$	0
Optimality for the two-parameter quadratic sieve	0
Multiples of integral points on Mordell curves	0
A correction to a result of Chinburg and Henriksen on powers of integer polynomials	0
Conditional lower bounds on the distribution of central values in families of $L$-functions	0
On a comparison of Cassels pairings of different elliptic curves	0
$G$-bundles on the absolute Fargues–Fontaine curve	0
Joint distribution in residue classes of polynomial-like multiplicative functions	0
A study in quantitative equidistribution on the unit square	0
A note on transcendence of special values of functions related to modularity	0
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2	0
Explicit solutions to the Oppenheim conjecture forindefinite ternary diagonal forms	0
Diophantine approximation and primitive prime divisors in random iterations	0
Bounds for moments of modular $L$-functions to a fixed modulus	0
On simultaneous approximation to a real number, its square, and its cube, II	0
Moments and equidistributions of multiplicative analogues of Kloosterman sums	0
Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini	0
Limit points and discrepancy of the fractional parts of $b^n/n$	0
Average Bateman–Horn for Kummer polynomials	0
Some remarks on the reduction map for Drinfeld modules	0
The $a$-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6	0
Uniform bounds for the number of rational points of bounded height on certain elliptic curves	0
On the Diophantine equation $x^4+y^4=c$	0
An extension to the Gusić–Tadić specialization criterion	0
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$	0
On the algebraicity of Thue–Morse and period-doubling continued fractions	0
The Hilbert property for arithmetic schemes	0
Extreme values of the Riemann zeta function at its critical points in the critical strip	0
Bases of minimal vectors in tame lattices	0
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem	0
Exponential sum bound of Mordell and Hua	0
Nonlinear twists and moments of $L$-functions	0
Congruences for modular forms and applications to crank functions	0
Hyperbolicity of the moduli of certain Fano threefolds	0
Polynomial moments with a weighted zeta square measure on the critical line	0
The denominators of the Bernoulli numbers	0
An asymptotic version of Cobham’s theorem	0
Ultra-short sums of trace functions	0
A counterexample to the Pellian equation conjecture of Mordell	0
Strong approximation and Hasse principle for integral quadratic forms over affine curves	0
Selberg’s sieve of irregular density	0
Uniqueness conjecture on simultaneous Pell equations	0
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses	0
Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces	0
Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip	0
Conjecture cyclotomique et semi-simplicit\xE9 des modules d’Iwasawa	0
Rankin–Cohen brackets of Jacobi forms and Jacobi Poincaré series	0
On a problem of Romanoff type	0
On power values of pyramidal numbers, II	0
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law	0
On a simple quartic family of Thue equations over imaginary quadratic number fields	0
Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$	0
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$	0
On the factorization of lacunary polynomials	0
Character sums and the Riemann Hypothesis	0
Weighted Erdős–Kac type theorems in short intervals	0
Multiple zeta functions at regular integer points	0
Notes on the module of Euler systems for $p$-adic representations	0
The large sieve revisited	0
The distribution of defective multivariate polynomial systems over a finite field	0
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms	0
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials	0
Bogomolov property of some infinite nonabelian extensions of a totally $v$-adic field	0
Remarks on sums of reciprocals of fractional parts	0
A new bound for Erdős’ minimum overlap problem	0

Density versions of the binary Goldbach problem	0
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules	0
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)	0
On Ihara’s conjectures for Euler–Kronecker constants	0
On the Field Isomorphism Problem for the family of simplest quartic fields	0
Density of the union of positive diagonal binary quadratic forms	0
Weierstrass points of modular curves at cusps	0
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)	0
Statistics for $p$-ranks of Artin–Schreier covers	0
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	0
Representation of even integers as a sum of squares of primes and powers of two	0
Characteristic polynomials of isometries of even unimodular lattices	0
Chromatic number of spacetime	0
Extreme values for iterated integrals of the logarithm of the Riemann zeta-function	0
The density of elliptic Dedekind sums	0
Explicit results for Euler’s factorial series in arithmetic progressions under GRH	0
On gaps between sums of four fourth powers	0
Refinements on vertical Sato–Tate	0
Lattice points and Weyl’s formula for the disc	0
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces	0
A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields	0
Sieving intervals and Siegel zeros	0
Additive decomposition of signed primes	0
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points	0
Finiteness of elasticities of orders in central simple algebras	0
Certain Diophantine equations and new parity results for 21-regular partitions	0
Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T]$	0
Another Waring–Goldbach problem	0
Convergence to the Plancherel measure of Hecke eigenvalues	0
$t$-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately	0
Fourier coefficients of Siegel cusp forms and genera of quadratic forms	0
Hyperbolic summation for fractional sums	0
On the sum of two powered numbers	0
On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups	0
Correlation and lower bounds of arithmetic expressions	0
On the ratio between two factorization functions	0
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers	0
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields	0
Note on a conjecture of Hildebrand regarding friable integers	0
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$	0
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function	0
Zeta functions of quadratic Artin–Schreier curves in characteristic two	0
Hecke operators acting on optimal embeddings in indefinite quaternion algebras	0
Number of integers represented by families of binary forms (II): binomial forms	0
Fourier coefficients of $\mathrm{Sp}(4)$ Eisenstein series	0
Toroidal families and averages of L-functions, I	0
On the number of irreducible representations of $\mathfrak{su}(3)$	0
On the root numbers of abelian varieties with real multiplication	0
Triquadratic 3-rational fields	0
On additive bases of finite groups	0
Level-13 theta function identities of Ramanujan and applications	0
Most elliptic curves over global function fields are torsion free	0
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields	0
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
Tetragonal modular quotients $X_0^+(N)$	0
Torsion and exceptional units	0
Selmer groups of certain abelian varieties with complex multiplication	0
Rational points on an intersection of diagonal forms	0
Ramanujan–Sato series for $1/\pi $	0
Number of integers represented by families of binary forms (I)	0
On two uniform exponents of approximation related to Wirsing’s problem	0
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands}	0
Elliptic curves with conductor having $n$ prime factors	0
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	0
Correspondance de Langlands locale $p$-adique et anneaux de Kisin	0
The Hausdorff and packing measure of some digital expansions	0
When Euler met Brun	0
Multiplicative complements I	0
Diophantine equations for Littlewood polynomials	0
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves	0
Linear independence criteria for generalized polylogarithms with distinct shifts	0
The least common multiple of a bivariate quadratic sequence	0
A simple remark on Kummer’s conjecture	0
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor	0
Elementary methods in the study of the Deuring–Heilbronn phenomenon	0
Rigidity in elliptic curve local-global principles	0
On a question of Mendès France on normal numbers	0
Solution to a problem of Luca, Menares and Pizarro-Madariaga	0
An application of counting ideals in ray classes	0
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units	0
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser	0
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$	0
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions	0
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4	0
On the conical zeta values and the Dedekind zeta values for totally real fields	0
On a general density theorem	0
Lower bounds for the modified Szpiro ratio	0
Effective $S$-unit equations beyond three terms: Newman’s Conjecture	0
Algebraic independence of certain entire functions of two variables generated by linear recurrences	0
Dimension formulas for modular form spaces with character for Fricke groups	0
Powers from products of terms in progressions with gaps	0
Wandering points for the Mahler measure	0
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 Problem	0
A computation of prismatic Dieudonn\xE9 module	0
Multiplicatively reducible subsets of shifted perfect $k$th powers and bipartite Diophantine tuples	0