A generalization of Roth's theorem in function fields

DOI10.1307/mmj/1353098515zbMath1276.11163OpenAlexW2069395500MaRDI QIDQ1931928

Yu-Ru Liu, Xiaomei Zhao

Publication date: 16 January 2013

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1353098515

zbMATH Keywords

additive combinatoricssets containing no solutons of linear equations

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Arithmetic progressions (11B25) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (1)

A note on the real densities of homogeneous systems in function fields

Cites Work

• Unnamed Item
• On Roth's theorem on progressions
• Roth's theorem on progressions revisited
• Progression-free sets in finite abelian groups.
• On subsets of finite Abelian groups with no 3-term arithmetic progressions
• On triples in arithmetic progression
• Integer sets containing no arithmetic progressions
• Translation invariant equations and the method of Sanders
• A GENERALIZATION OF ROTH'S THEOREM IN FUNCTION FIELDS
• Integer Sets Containing No Arithmetic Progressions
• On Certain Sets of Integers

This page was built for publication: A generalization of Roth's theorem in function fields