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Sum-product formulae

Granville, A; Solymosi, J; (2016) Sum-product formulae. In: Beveridge, A and Griggs, JR and Hogben, L and Musiker, G and Tetali, P, (eds.) Recent Trends in Combinatorics. (pp. 419-451). Springer: Cham, Switzerland. Green open access

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Abstract

This is a survey on sum-product formulae and methods. We state old and new results. Our main objective is to introduce the basic techniques used to bound the size of the product and sumsets of finite subsets of a field.

Type: Book chapter
Title: Sum-product formulae
ISBN: 3319242989
ISBN-13: 9783319242989
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-3-319-24298-9_18
Publisher version: https://doi.org/10.1007/978-3-319-24298-9
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Additive Combinatorics, Sum-Product problems
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10038647
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