Improving Roth's Theorem in the Primes

DOI10.1093/imrn/rnq108zbMath1283.11134arXiv0912.1842OpenAlexW2006825310MaRDI QIDQ5391143

Anne De Roton, Harald Andrés Helfgott

Publication date: 6 April 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1842

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (8)

New applications of the polynomial method: The cap set conjecture and beyond ⋮ Solving equations in dense Sidon sets ⋮ Long arithmetic progressions in \(A+A+A\) with \(A\) a prime subset ⋮ Szemerédi's Theorem in the Primes ⋮ Improved bound in Roth's theorem on arithmetic progressions ⋮ A Prime Analogue of Roth’s Theorem in Function Fields ⋮ Roth's theorem in the Piatetski-Shapiro primes ⋮ AN -FUNCTION-FREE PROOF OF VINOGRADOV’S THREE PRIMES THEOREM

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