Fonctions g-additives et formule asymptotique pour la propriété (n, f(n)) = q
By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.
We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).