Acta Arithmetica

Article	Citations
The monogeneity of radical extensions	13
Some new infinite families of monogenic polynomials with non-squarefree discriminant	11
On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields	8
Extreme and periodic $L_2$ discrepancy of plane point sets	6
On the invariant $\mathsf E(G)$ for groups of odd order	5
Fermat’s Last Theorem and modular curves over real quadratic fields	5
Efficient congruencing in ellipsephic sets: the quadratic case	5
Metric results on summatory arithmetic functions on Beatty sets	4
Further bounds in the polynomial Szemer	4
Fourier coefficients of level 1 Hecke eigenforms	4
Stirling numbers and periodic points	3
Low-degree permutation rational functions over finite fields	3
On a theorem of Davenport and Schmidt	3
Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6	3
A large sieve inequality for power moduli	3
Uniformity norms, their weaker versions, and applications	3
On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series	3
Rational points and ramified covers of products of two elliptic curves	3
Heights and isogenies of Drinfeld modules	3
Moments and distribution of values of $L$-functions over function fields inside the critical strip	3
Point sets with optimal order of extreme and periodic discrepancy	3
Periodic continued fractions over $S$-integers in number fields and Skolem’s $p$-adic method	3
Weierstrass semigroups at every point of the Suzuki curve	3
Remarks on the Selberg–Delange method	3
On sums of sums involving squarefull numbers	3

Primes with one excluded digit	3
A note on sum-product estimates over finite valuation rings	2
Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$	2
Average Bateman–Horn for Kummer polynomials	2
On the class number of a real abelian field of prime conductor	2
A geometric linear Chabauty comparison theorem	2
Profinite commensurability of $S$-arithmetic groups	2
Quadratic fields with a class group of large 3-rank	2
Norm form equations with solutions taking values in a multi-recurrence	2
On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$	2
Counting finite index subrings of $\mathbb Z^n$	2
On the leading constant in the Manin-type conjecture for Campana points	2
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves	2
On extreme values for the Sudler product of quadratic irrationals	2
À propos d’une version faible du problème inverse de Galois	2
Modularity of special cycles on unitary Shimura varieties over CM-fields	2
On the genesis of BBP formulas	2
Skolem’s conjecture confirmed for a family of exponential equations, II	2
Linear independence criteria for generalized polylogarithms with distinct shifts	2
On the algebraicity of Thue–Morse and period-doubling continued fractions	2
Binary polynomial power sums vanishing at roots of unity	2
On products of primes and almost primes in arithmetic progressions	2
The equation $(x-d)^5+x^5+(x+d)^5=y^n$	1
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers	1
A proof of Newman’s conjecture for the extended Selberg class	1
Ramanujan–Sato series for $1/\pi $	1
The index of degeneracy of a CM abelian variety can be arbitrarily large	1
The first moment of $L\bigl(\frac{1}{2},\chi\bigr)$ for real quadratic function fields	1
Joint distribution in residue classes of polynomial-like multiplicative functions	1
On a problem of Romanoff type	1
On the discrepancy of random subsequences of $\{n\alpha \}$, II	1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)	1
Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$	1
Explicit small heights in infinite non-abelian extensions	1
On polynomials with roots modulo almost all primes	1
On smooth Weyl sums over biquadrates and Waring’s problem	1
On the zeros of certain weakly holomorphic modular forms for ${\varGamma }_0^+(5)$ and ${\varGamma }_0^+(7)$	1
Small gaps between three almost primes and almost prime powers	1
Smooth numbers in Beatty sequences	1
Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$	1
Subconvexity for twisted GL$_3$ $L$-functions	1
Additive decomposition of signed primes	1
On constant terms of Eisenstein series	1
Coincidence of $L$-functions	1
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law	1
Small gaps and small spacings between zeta zeros	1
Additive double character sums over some structured sets and applications	1
On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$	1
Selberg’s sieve of irregular density	1
On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms	1

Diophantine tuples over $\mathbb {Z}_p$	1
Misiurewicz polynomials for rational maps with nontrivial automorphisms	1
The asymptotics of nilpotent Galois groups	1
Hyperbolicity of the moduli of certain Fano threefolds	1
Kolyvagin's work and anticyclotomic tower fields: the supersingular case	1
The reciprocal sum of divisors of Mersenne numbers	1
Asymmetric estimates and the sum-product problems	1
Coprimality of Fourier coefficients of eigenforms	1
Class number problem for a family of real quadratic fields	1
Hegyvári’s theorem on complete sequences, II	1
Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2	1
Independent relative units of low height	1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points	1
Uniform explicit Stewart theorem on prime factors of linear recurrences	1
$G$-bundles on the absolute Fargues–Fontaine curve	1
On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups	1
Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes	1
Dimension formulas for modular form spaces with character for Fricke groups	1
Bilinear sums of Gauss sums	1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$	1
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$	1
The standard twist of $L$-functions revisited	1
Elliptic and abelian period spaces	1
On Ihara’s conjectures for Euler–Kronecker constants	1
Gaussian behavior of quadratic irrationals	1
Upper bounds on the heights of polynomials and rational fractions from their values	1
Sieving intervals and Siegel zeros	1
Supercongruences and binary quadratic forms	1
Generalized difference sets and autocorrelation integrals	1
Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions	1
Algebraic independence of certain entire functions of two variables generated by linear recurrences	1
On universal norms for $p$-adic representations in higher-rank Iwasawa theory	1
One-level density of quadratic twists of $L$-functions	1
Primitive divisors of elliptic divisibility sequences for elliptic curves with $j=1728$	1
Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$	1
On orders in quadratic number fields with unusual sets of distances	1
A new bound for Erdős’ minimum overlap problem	1
The Hilbert property for arithmetic schemes	1
Cyclotomic factors of necklace polynomials	1
Solubility of additive forms of twice odd degree over ramified quadratic extensions of $\mathbb {Q}_2$	1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2	1
A note on the pair correlation of Farey fractions	1
Romanoff's theorem for polynomials over finite fields revisited	1
Optimality for the two-parameter quadratic sieve	1
Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices	1
Galois symbol maps for abelian varieties over a $p$-adic field	1
On $d$-complete sequences modulo $l$	0
A Vorono\xEF–Oppenheim summation formula for number fields	0
Preperiodic points with local rationality conditions in the quadratic unicritical family	0
Squarefree density of polynomials	0
Factorial-type recurrence relations and $p$-adic incomplete gamma functions	0
On $d$-complete sequences of integers, II	0
The irrationality of a divisor function series of Erdős and Kac	0
A Bombieri–Vinogradov-type theorem for moduli with small radical	0
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	0
Elementary methods in the study of the Deuring–Heilbronn phenomenon	0
Quaternary quadratic forms with prime discriminant	0
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	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
Solutions of certain meta-Fibonacci recurrences	0
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$	0
On sums of fractional parts	0
Badly approximable points for diagonal approximation in solenoids	0
An asymptotic version of Cobham’s theorem	0
Davenport constant of a box in $\mathbb {Z}^2$	0
Solvable lattice sums and quadratic Dirichlet $L$-values	0
A singular series average and the zeros of the Riemann zeta-function	0
Weighted Erdős–Kac type theorems in short intervals	0
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions)	0
An identity involving weighted and desingularized multiple zeta functions	0
Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases	0
On the Liouville function on rational polynomial values	0
The distribution of rational points on conics	0
Density of sequences of the form $x_n=f(n)^n$ in $[0,1]$	0
Diophantine approximation with constraints	0
Representation of even integers as a sum of squares of primes and powers of two	0
Asymptotic bounds for factorizations into distinct parts	0
On the upper bound of the $L_2$-discrepancy of Halton’s sequence	0
On gaps between sums of four fourth powers	0
Linear equations with two variables in Piatetski-Shapiro sequences	0

Representation of a polynomial as the sum of an irreducible polynomial and a square-free polynomial	0
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$	0
On a problem of Chen and Fang related to infinite additive complements	0
A new diophantine equation involving fifth powers	0
Uniqueness conjecture on simultaneous Pell equations	0
Extending a problem of Pillai to Gaussian lines	0
A fundamental set in $L^2(0,1)$	0
Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields	0
On the integrality of hypergeometric series whose coefficients are factorial ratios	0
On sequences of integers with small prime factors	0
On generalized Narkiewicz constants of finite abelian groups	0
On a logarithmic sum related to the Selberg sieve	0
Polynomial moments with a weighted zeta square measure on the critical line	0
On the structure of even $K$-groups of rings of algebraic integers	0
Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip	0
Optimal mean value estimates beyond Vinogradov's mean value theorem	0
On a variance associated with the distribution of real sequences in arithmetic progressions	0
Large values of $n/\varphi (n)$ and $\sigma (n)/n$	0
A system of certain linear Diophantine equations on analogs of squares	0
Finiteness of elasticities of orders in central simple algebras	0
Forbidden conductors of $L$-functions and continued fractions of particular form	0
The orbit intersection problem in positive characteristic	0
Number of integers represented by families of binary forms (I)	0
On prime factors of terms of binary recurrence sequences	0
Statistics for $p$-ranks of Artin–Schreier covers	0
On the one-sided boundedness of the local discrepancy of $\{n\alpha \}$-sequences	0
On sums of Hecke eigenvalue squares over primesin very short intervals	0
Conditional lower bounds on the distribution of central values in families of $L$-functions	0
The Thue–Morse continued fractions in characteristic 2 are algebraic	0
Remarks on continued fractions with finitely many digits	0
Hermite equivalence of polynomials	0
Zeta functions of quadratic Artin–Schreier curves in characteristic two	0
Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I	0
Heights of polynomials over lemniscates	0
Remarks on classical number-theoretic aspects of Milnor–Witt K-theory	0
A study in quantitative equidistribution on the unit square	0
The cubic Pell equation $L$-function	0
On the distribution of reduced fractions with squarefree denominators	0
Upper bounds for fractional joint moments of the Riemann zeta function	0
The Hausdorff and packing measure of some digital expansions	0
Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$	0
Markov and Lagrange spectra for Laurent series in $1/T$ with rational coefficients	0
On a question of Mendès France on normal numbers	0
Annihilators of the ideal class group of a cyclic extension of a global function field	0
Trielliptic modular curves $X_1(N)$	0
Kloosterman sums over finite Frobenius rings	0
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem	0
Adelic point groups of elliptic curves	0
Generalized modular forms with a cuspidal divisor	0
Effective convergence of coranks of random Rédei matrices	0
An omega-result for Beurling generalized integers	0
A Bombieri–Vinogradov-type theorem with prime power moduli	0
An extension to the Gusić–Tadić specialization criterion	0
On Mahler’s inequality and small integral generators of totally complex number fields	0
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series	0
Improved bounds for some $S$-unit equations	0
The large sieve for self-dual Eisenstein series of varying levels	0
On the Pythagoras number of the simplest cubic fields	0
Hyperbolic summation for fractional sums	0
Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces	0
A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields	0
On reduction maps and arithmetic dynamics of Mordell–Weil type groups	0
On the sum of two powered numbers	0
Holomorphic Eisenstein series of rational weights and special values of Gamma function	0
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units	0
Transcendence and continued fraction expansion of values of Hecke–Mahler series	0
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond	0
Some remarks on the reduction map for Drinfeld modules	0
A general double sum identity, mock theta functions, and Bailey pairs	0
Covering systems with large moduli associated with reducible shifts of integer polynomials	0
A note on pencils of norm-form equations	0
Two problems on the greatest prime factor of $n^2+1$	0
On Galois–Gauss sums and the square root of the inverse different	0
Formulas for moments of class numbers in arithmetic progressions	0
Continued fractions for strong Engel series and Lüroth series with signs	0
The connector for the double Ohno relation	0
Metacommutation of primes in Eichler orders	0
Orders with few rational monogenizations	0
Zagier duality for real weights	0
Differences between totients	0
Linear Diophantine equations in Piatetski-Shapiro sequences	0
On interpolated multiple $L$-values	0
On the local structure of the set of values of Euler’s $\varphi $ function	0
The first moment of quadratic twists of modular $L$-functions	0
The density of elliptic Dedekind sums	0
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves	0
Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T]$	0
Annulateurs de Stickelberger des groupes de classes logarithmiques	0
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)	0
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields	0
Local to global principle for semiabelian varieties isogenous to the product of an abelian variety and a torus	0
Intersection of class fields	0
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4	0
Bounds for moments of modular $L$-functions to a fixed modulus	0
Systems of bihomogeneous forms of small bidegree	0