Translation invariant equations and the method of Sanders

2012/05/23 by Thomas F. Bloom · 1 citation
Mathematics · Computer Science · #Limits and Structures in Graph Theory #Algebraic Geometry and Number Theory #Advanced Graph Theory Research

paper · doi:10.1112/blms/bds045

Abstract

We extend the recent improvement of Roth's theorem on three-term arithmetic progressions by Sanders to obtain similar results for the problem of locating non-trivial solutions to translation invariant linear equations in many variables in both ℤ/Nℤ and 픽q[t].

Citations

• Roth’s theorem on progressions revisited

Cited by

• Roth-type theorems in additive combinatroics
• Additive combinatorics with a view towards computer science and\n cryptography: An exposition

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