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
Sums of positive density subsets of the primes
We show that if A and B are subsets of the primes with positive relative lower densities α and β, then the lower density of A+B in the natural numbers is at least , which is asymptotically best possible. This improves results of Ramaré and Ruzsa and of Chipeniuk and Hamel. As in the latter work, the problem is reduced to a similar problem for subsets of using techniques of Green and Green-Tao. Concerning this new problem we show that, for any square-free m and any of densities α and β, the...
Sums of Prime Powers.
Sur certaines hypothèses concernant les nombres premiers
Sur la constante de Šnirel'man
Sur la démonstration de l'hypothèse de Goldbach pour les nombres impairs, donnée par M. Vinogradow
Sur l'hypothèse de Goldbach pour presque tous les nombres pairs