Geometrische Reihen in algebraischen Zahlkörpern
Goldbach numbers in sparse sequences
We show that for almost all , the inequalityhas solutions with odd prime numbers and , provided . Moreover, we give a rather sharp bound for the exceptional set.This result provides almost-all results for Goldbach numbers in sequences rather thinner than the values taken by any polynomial.
Hardy-Littlewood varieties and semisimple groups.
Homogeneous additive equations and Waring's problem
Improvement on Davenport's iterative method and new results in additive number theory III
Improvement on Davenport's iterative method and new results in additive number theory, I
Improvement on Davenport's iterative method and new results in additive number theory II. Proof that G(5)≤22
Intersective sets given by a polynomial
Lagrange's Four Squares Theorem with almost prime variables.
Lattice points in bodies with algebraic boundary
Le crible à vecteurs
Le problème de Waring et la méthode de Hardy (dissection de Farey)
Le problème de Waring pour l'anneau des polynômes sur un corps fini
L'étude des formes cubiques rationnelles via la méthode du cercle
Localized solutions in Waring's problem: the lower bound
Lower bounds for sums of Barban-Davenport-Halberstam type.
Mean values of Dirichlet polynomials and applications to linear equations with prime variables
Notes on Waring's problem
Numbers representable by five prime squares with primes in an arithmetic progression
On a diophantine problem with one prime, two squares of primes and s powers of two