A Transference Approach to a Roth-Type Theorem in the Squares

DOI10.1093/imrn/rnw096zbMath1405.11131arXiv1510.00136OpenAlexW2964283528MaRDI QIDQ4611932

Sean Prendiville, Timothy D. Browning

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1510.00136

zbMATH Keywords

\(K\)-trivialitypartition regularitydiagonal quadric

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Quadratic and bilinear Diophantine equations (11D09) Other combinatorial number theory (11B75) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (13)

Restriction estimates of \(\varepsilon\)-removal type for \(k\)-th powers and paraboloids ⋮ Monochromatic sums of squares ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ ON THE WARING–GOLDBACH PROBLEM WITH ALMOST EQUAL SUMMANDS ⋮ Roth-type theorem for quadratic system in Piatetski-Shapiro primes ⋮ Unnamed Item ⋮ Mini-workshop: Interplay between number theory and analysis for Dirichlet series. Abstracts from the mini-workshop held October 29 -- November 4, 2017 ⋮ On sumsets of subsets of squares ⋮ A Diophantine Ramsey theorem ⋮ Rado's criterion over squares and higher powers ⋮ A Roth-type theorem with mixed powers ⋮ Vinogradov's theorem with Fouvry-Iwaniec primes ⋮ Translation invariant quadratic forms and dense sets of primes

This page was built for publication: A Transference Approach to a Roth-Type Theorem in the Squares