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  • Dense_Sidon_Sets_revision1

    Rights statement: https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/solving-equations-in-dense-sidon-sets/7864AFD00B6F50C02BF6FCEB8195CDB2 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1), pp 25-34 2022, © 2022 Cambridge University Press.

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Solving equations in dense Sidon sets

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>19/07/2022
<mark>Journal</mark>Mathematical Proceedings of the Cambridge Philosophical Society
Issue number1
Volume173
Number of pages10
Pages (from-to)25-34
Publication StatusPublished
Early online date19/05/21
<mark>Original language</mark>English

Abstract

We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao [CFSZ20] on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds.

Bibliographic note

https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/solving-equations-in-dense-sidon-sets/7864AFD00B6F50C02BF6FCEB8195CDB2 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 173 (1), pp 25-34 2022, © 2022 Cambridge University Press.