Additive energy of dense sets of primes and monochromatic sums

DOI10.1007/s11856-013-0075-yzbMath1358.11022OpenAlexW1977607009MaRDI QIDQ2017148

D. S. Ramana, Olivier Ramaré

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-013-0075-y

zbMATH Keywords

arithmetic progressionsadditive energylarge sieve inequalitiesmonochromatic sums

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Density, gaps, topology (11B05) Additive bases, including sumsets (11B13)

Related Items (5)

Monochromatic sums of squares ⋮ Primes in sumsets ⋮ On monochromatic sums of squares of primes ⋮ Representation of integers as monochromatic sums of squares of primes ⋮ A chromatic version of Lagrange's four squares theorem

Cites Work

• On monochromatic sums of squares and primes
• Finite addition theorems. I
• Additive properties of dense subsets of sifted sequences
• On Rademacher's Extension of the Goldbach-Vinogradoff Theorem
• Unsolved problems in number theory
• Unnamed Item

This page was built for publication: Additive energy of dense sets of primes and monochromatic sums