Acta Arithmetica

Article	Citations
Bilinear sums of Gauss sums	8
An explicit Watson–Ichino formula with CM newforms	7
Reduction and isogenies of elliptic curves	6
On a variance associated with the distribution of real sequences in arithmetic progressions	4
Rank distribution in cubic twist families of elliptic curves	4
The irrationality of a divisor function series of Erdős and Kac	4
Two variants of a theorem of Schinzel and Wójcik on multiplicative orders	4
Preperiodic points with local rationality conditions in the quadratic unicritical family	4
The non-$p$-part of the fine Selmer group in a $\mathbb Z_p$-extension	4
Forbidden conductors of $L$-functions and continued fractions of particular form	4
Orders with few rational monogenizations	3
Uniqueness conjecture on simultaneous Pell equations	3
Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants	3
Formulas for moments of class numbers in arithmetic progressions	3
Defining $\mathbb Z$ using unit groups	3
On Fermat quartics $x^4+y^4=Dz^4$ over cubic fields	3
The large sieve for self-dual Eisenstein series of varying levels	3
Limit points and discrepancy of the fractional parts of $b^n/n$	3
Holomorphic Eisenstein series of rational weights and special values of Gamma function	3
Factorial-type recurrence relations and $p$-adic incomplete gamma functions	2
Tetraelliptic modular curves $X_1(N)$	2
An asymptotic version of Cobham’s theorem	2
A geometric linear Chabauty comparison theorem	2
A new diophantine equation involving fifth powers	2
Errata to “On second 2-descent and non-congruent numbers” (Acta Arith. 170 (2015), 343–360)	2

The Erdős distinct subset sums problem in a modular setting	2
Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$	2
A new bound for Erdős’ minimum overlap problem	2
Zeta functions of quadratic Artin–Schreier curves in characteristic two	2
On sums of Hecke eigenvalue squares over primesin very short intervals	2
Diophantine approximation with constraints	2
Small gaps between three almost primes and almost prime powers	2
Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields	2
On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$	2
Coprimality of Fourier coefficients of eigenforms	2
On the solutions of $x^p+y^p=2^rz^p$, $x^p+y^p=z^2$ over totally real fields	2
Local conductor bounds for modular abelian varieties	2
On the sum of two powered numbers	2
Solvable lattice sums and quadratic Dirichlet $L$-values	1
Congruences for modular forms and applications to crank functions	1
Elliptic curves with conductor having $n$ prime factors	1
Hecke operators acting on optimal embeddings in indefinite quaternion algebras	1
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses	1
On the number of irreducible representations of $\mathfrak{su}(3)$	1
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions	1
On the conical zeta values and the Dedekind zeta values for totally real fields	1
Most elliptic curves over global function fields are torsion free	1
On simultaneous approximation to a real number, its square, and its cube, II	1
Level-13 theta function identities of Ramanujan and applications	1
On the convergence of certain indefinite theta series	1
A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units	1
On the distribution of reduced fractions with squarefree denominators	1
Finiteness of elasticities of orders in central simple algebras	1
A connection between uniqueness of the Riemann zeta function and the Riemann hypothesis and beyond	1
Correspondance de Langlands locale $p$-adique et anneaux de Kisin	1
Counting torsion points on subvarieties of the algebraic torus	1
The Hilbert property for arithmetic schemes	1
Solutions to a Romanoff type problem	1
Point sets with optimal order of extreme and periodic discrepancy	1
Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points	1
Additive decomposition of signed primes	1
The density of elliptic Dedekind sums	1
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$	1
Modularity of special cycles on unitary Shimura varieties over CM-fields	1
Systems of bihomogeneous forms of small bidegree	1
Remarks on sums of reciprocals of fractional parts	1
The index of degeneracy of a CM abelian variety can be arbitrarily large	1
Noninvariance of weak approximation with Brauer–Manin obstruction for surfaces	1
On the values of Weierstrass zeta and sigma functions (with an appendix by David Masser)	1
On the root numbers of abelian varieties with real multiplication	1
A correction to a result of Chinburg and Henriksen on powers of integer polynomials	1
Torsion and exceptional units	1
Density versions of the binary Goldbach problem	1
A system of certain linear Diophantine equations on analogs of squares	1
Remarks on continued fractions with finitely many digits	1

Extending a problem of Pillai to Gaussian lines	1
Covering systems with large moduli associated with reducible shifts of integer polynomials	1
The cubic Pell equation $L$-function	1
Upper bounds on the heights of polynomials and rational fractions from their values	1
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)	1
Two problems on the greatest prime factor of $n^2+1$	1
${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	1
Uniform bounds for the number of rational points of bounded height on certain elliptic curves	1
A note on pencils of norm-form equations	1
On a simple quartic family of Thue equations over imaginary quadratic number fields	1
On the structure of even $K$-groups of rings of algebraic integers	1
An upper bound on the least prime for certain modular congruences	1
Certain Diophantine equations and new parity results for 21-regular partitions	1
Coincidence of $L$-functions	1
On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves	1
A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor	1
Primes with one excluded digit	1
Fourier coefficients of Siegel cusp forms and genera of quadratic forms	1
The Riemann hypothesis for period polynomials of cusp forms	1
Sieving intervals and Siegel zeros	1
Iwasawa cohomology of analytic $(\varphi _L,{\varGamma }_L)$-modules	1
Refinements on vertical Sato–Tate	1
Maximum values of multiplicative functions on short intervals	1
The asymptotics of nilpotent Galois groups	1
Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves	1
Geometry and distribution of roots of $\mu ^2\equiv D\ {\rm mod\ } m$ with $D \equiv 1\ {\rm mod\ } 4$	1
Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields	1
On an application of the $abc$-theorem for polynomials to the squarefree neighbour problem	1
Weighted sums of generalized polygonal numbers with coefficients $1$ or $2$	1
Exponential sum bound of Mordell and Hua	1
Algebraic independence of certain entire functions of two variables generated by linear recurrences	1
On the leading constant in the Manin-type conjecture for Campana points	1
Some congruences involving generalized Bernoulli numbers and Bernoulli polynomials	1
On a problem of Romanoff type	1
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2	1
Congruences between Markov numbers	0
Conjecture cyclotomique et semi-simplicit\xE9 des modules d’Iwasawa	0
Explicit solutions to the Oppenheim conjecture forindefinite ternary diagonal forms	0
On a general density theorem	0
Riemann-type functional equations: Dirichlet polynomial approximations and a weak Gram law	0
Fermat’s Last Theorem and modular curves over real quadratic fields	0
Rational approximation with generalised $\alpha $-Lüroth expansions	0
On extreme values for the Sudler product of quadratic irrationals	0
Ramanujan–Sato series for $1/\pi $	0
On polynomials with roots modulo almost all primes	0
Variance of the $k$-fold divisor function in arithmetic progressions for individual modulus	0
Correlation and lower bounds of arithmetic expressions	0
Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini	0
On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4	0
Rectangular shrinking targets for $\mathbb Z^m$ actions on tori: well and badly approximable systems	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
The least common multiple of a bivariate quadratic sequence	0
Additively stable sets, critical sets for the $3k-4$ theorem in $\mathbb Z$ and $\mathbb R$	0
On the upper bound of the $L_2$-discrepancy of Halton’s sequence	0
The Hausdorff and packing measure of some digital expansions	0
Lower bounds for the modified Szpiro ratio	0
Diophantine approximation and primitive prime divisors in random iterations	0
Newton polygons and the constant associated with the Prouhet–Tarry–Escott problem	0
Number of integers represented by families of binary forms (II): binomial forms	0
Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$	0
Bounds for moments of modular $L$-functions to a fixed modulus	0
A note on transcendence of special values of functions related to modularity	0
A note on integers expressible as the sum of three squares of primes	0
Character sums and the Riemann Hypothesis	0
Cyclotomic valuation of $q$-Pochhammer symbols and $q$-integrality of basic hypergeometric series	0
Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6	0
Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2	0
On the factorization of lacunary polynomials	0
Joint distribution in residue classes of polynomial-like multiplicative functions	0
On the algebraicity of Thue–Morse and period-doubling continued fractions	0
ECM and the Elliott–Halberstam conjecture for quadratic fields	0
Explicit results for Euler’s factorial series in arithmetic progressions under GRH	0
Strong approximation and Hasse principle for integral quadratic forms over affine curves	0
Hegyvári’s theorem on complete sequences, II	0
The $a$-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6	0
An improved spectral large sieve inequality for ${\rm SL}_3(\mathbb {Z})$	0
Subconvexity for twisted GL$_3$ $L$-functions	0
Odd prime power values of Fourier coefficients of Hecke eigenforms	0
Remarks on classical number-theoretic aspects of Milnor–Witt K-theory	0
On products of primes and almost primes in arithmetic progressions	0

On two uniform exponents of approximation related to Wirsing’s problem	0
Average Bateman–Horn for Kummer polynomials	0
On smooth Weyl sums over biquadrates and Waring’s problem	0
Large values of $n/\varphi (n)$ and $\sigma (n)/n$	0
Weierstrass points of modular curves at cusps	0
Bases of minimal vectors in tame lattices	0
Nonlinear twists and moments of $L$-functions	0
On the ratio between two factorization functions	0
An application of counting ideals in ray classes	0
Hermite equivalence of polynomials	0
Zagier duality for real weights	0
Notes on the module of Euler systems for $p$-adic representations	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
Northcott numbers for generalized weighted Weil heights	0
Polynomial moments with a weighted zeta square measure on the critical line	0
Diophantine equations for Littlewood polynomials	0
Bad witnesses for a composite number	0
On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups	0
A study in quantitative equidistribution on the unit square	0
Ultra-short sums of trace functions	0
On asymptotically automatic sequences	0
Extreme values of the Riemann zeta function at its critical points in the critical strip	0
Number of integers represented by families of binary forms (I)	0
On a question of Mendès France on normal numbers	0
Note on a conjecture of Hildebrand regarding friable integers	0
Triquadratic 3-rational fields	0
Squarefree density of polynomials	0
The large sieve revisited	0
Distribution of Hecke eigenvalues for holomorphic Siegel modular forms	0
On gaps between sums of four fourth powers	0
On zero-density estimates and the PNT in short intervals for Beurling generalized numbers	0
Powers from products of terms in progressions with gaps	0
Effective $S$-unit equations beyond three terms: Newman’s Conjecture	0
Independent relative units of low height	0
Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces	0
Metrical results on the geometry of best approximations for a linear form, I	0
Convergence to the Plancherel measure of Hecke eigenvalues	0
Hyperbolic summation for fractional sums	0
Multiples of integral points on Mordell curves	0
Uniformity norms, their weaker versions, and applications	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 tuples	0
On the Diophantine equation $x^4+y^4=c$	0
On Krull–Schmidt decompositions of unit groups of number fields	0
Artin’s primitive root conjecture in number fields and for matrices	0
Solution to a problem of Luca, Menares and Pizarro-Madariaga	0
Chromatic number of spacetime	0
Weighted Erdős–Kac theorems via computing moments	0
Selmer groups of certain abelian varieties with complex multiplication	0
Hyperbolicity of the moduli of certain Fano threefolds	0
Criteria for the integrality of $n$th roots of power series	0
On Mahler’s inequality and small integral generators of totally complex number fields	0
Optimality for the two-parameter quadratic sieve	0
Class numbers and congruences modulo 8 for a spt function on overpartitions	0
Mean values of ratios of the Riemann zeta function	0
Jacobi symbols on class groups of quadratic forms	0
The Minkowski sum of linear Cantor sets	0
Trielliptic modular curves $X_1(N)$	0
The least common multiple of polynomial values over function fields	0
Selberg’s sieve of irregular density	0
Improved bounds for some $S$-unit equations	0
Weighted Erdős–Kac type theorems in short intervals	0
When Euler met Brun	0
Monogenic cyclic trinomials of the form $x^4+cx+d$	0
Lagrange-like spectrum of perfect additive complements	0
Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T]$	0
Multiple zeta functions at regular integer points	0
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser	0
Cyclotomic factors of necklace polynomials	0
Fourier coefficients of $\mathrm{Sp}(4)$ Eisenstein series	0
On $d$-complete sequences modulo $l$	0
The first moment of quadratic twists of modular $L$-functions	0
Moments and equidistributions of multiplicative analogues of Kloosterman sums	0
The distribution of defective multivariate polynomial systems over a finite field	0
On the Pythagoras number of the simplest cubic fields	0
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function	0
Uniform explicit Stewart theorem on prime factors of linear recurrences	0
On a logarithmic sum related to the Selberg sieve	0
Linear independence criteria for generalized polylogarithms with distinct shifts	0
Another Waring–Goldbach problem	0
On Ihara’s conjectures for Euler–Kronecker constants	0
Toroidal families and averages of L-functions, I	0
A characterization of half-factorial orders in algebraic number fields	0
Low-degree permutation rational functions over finite fields	0
Some remarks on the reduction map for Drinfeld modules	0
A counterexample to the Pellian equation conjecture of Mordell	0
On a comparison of Cassels pairings of different elliptic curves	0
Traces of Poincaré series at square discriminants and Fourier coefficients of mock modular forms	0
Effective convergence of coranks of random Rédei matrices	0
Density of rational points on a certain biprojective hypersurface	0
An infinite family of internal congruences modulo powers of 2 for partitions into odd parts with designated summands}	0
A Vorono\xEF–Oppenheim summation formula for number fields	0
Bogomolov property of some infinite nonabelian extensions of a totally $v$-adic field	0
Rigidity in elliptic curve local-global principles	0
Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions	0