Le plus grand facteur premier de n² + 1 où est presque premier
L'ensemble exceptionnel dans la conjecture de Szpiro
Levels of Distribution and the Affine Sieve
We discuss the notion of a “Level of Distribution” in two settings. The first deals with primes in progressions, and the role this plays in Yitang Zhang’s theorem on bounded gaps between primes. The second concerns the Affine Sieve and its applications.
Linear equations with the Euler totient function
Lower and upper bounds for the number of solutions of
Lower bounds for sums of Barban-Davenport-Halberstam type.
Méthodes de crible et fonctions sommes des chiffres
Modifications of the Eratosthenes sieve
We discuss some cancellation algorithms such that the first non-cancelled number is a prime number p or a number of some specific type. We investigate which numbers in the interval (p,2p) are non-cancelled.
Multiplikative Funktionen auf schnell wachsenden Folgen.
Numbers with a large prime factor
Numbers with a large prime factor
On 4/n = 1/x + 1/y + 1/z and Rosser's sieve
On a problem of Diophantus
On another sieve method and the numbers that are a sum of two hth powers: II.
On Binary Equations.
On cluster primes
On Divisor Problems in Connection with Squarefree Numbers.
On irregularities in the graph of generalized divisor functions
On positive integers with a certain nondivisibility property.
On prime primitive roots