Tom 214 (2024)
Spis treści
Cały tom
The Thue–Morse continued fractions in characteristic 2 are algebraic
Equidistribution for solutions of $p+m^2+n^2=N$, and for Châtelet surfaces
The large sieve for self-dual Eisenstein series of varying levels
Lattice points and Weyl’s formula for the disc
Toroidal families and averages of L-functions, I
When Euler met Brun
Nonlinear twists and moments of $L$-functions
On sums of fractional parts
The first coefficient of Langlands Eisenstein series for ${\rm SL}(n,\mathbb Z)$
Convergence to the Plancherel measure of Hecke eigenvalues
Squarefree density of polynomials
Defining $\mathbb Z$ using unit groups
Correlation and lower bounds of arithmetic expressions
Number of integers represented by families of binary forms (II): binomial forms
Extending the support of 1- and 2-level densities for cusp form $L$-functions under square-root cancellation hypotheses
Improved bounds for some $S$-unit equations
Character sums and the Riemann Hypothesis
The set of values of any finite iteration of Euler’s $\varphi $ function contains long arithmetic progressions
On the sum of two powered numbers
An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function
The large sieve revisited
On a general density theorem
A note on integers expressible as the sum of three squares of primes
Effective $S$-unit equations beyond three terms: Newman’s Conjecture
A simple remark on Kummer’s conjecture
On sequences of integers with small prime factors
Conditional lower bounds on the distribution of central values in families of $L$-functions
The multiplication table constant and sums of two squares