4.3 Article

Translation invariant equations and the method of Sanders

Journal

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Volume 44, Issue -, Pages 1050-1067

Publisher

OXFORD UNIV PRESS
DOI: 10.1112/blms/bds045

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Funding

  1. EPSRC

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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 F-q[t].

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