Properties of non powerful numbers.
Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Representations of integers as sums of primes from a Beatty sequence
Restriction theory of the Selberg sieve, with applications
The Selberg sieve provides majorants for certain arithmetic sequences, such as the primes and the twin primes. We prove an – restriction theorem for majorants of this type. An immediate application is to the estimation of exponential sums over prime -tuples. Let and be positive integers. Write , where is the set of all such that the numbers are all prime. We obtain upper bounds for , , which are (conditionally on the Hardy-Littlewood prime tuple conjecture) of the correct order...
Résultats et problèmes en théorie des nombres
Semisemiological structure of the prime numbers and conditional Goldbach theorems.
Small prime solutions of linear ternary equations
Small Prime Solutions of some Additive Equations.
Small prime solutions of ternary linear equations
Small solutions of cubic equations with prime variables in arithmetic progressions
Some additive problems of numbers
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Some Recent Developments in three Classical Problems of Number Theory.
Some remarks on Goldbach's problem
Some theorems concerning the theory of primes.
Sommes de puissances et d’irréductibles dans
Sulla partizione degli interi in addendi primi col procedimento del residuo minimo.
Sums of one prime and two prime squares