REAL

The Uniformity Conjecture in Additive Combinatorics

Shkredov, Ilya D. and Solymosi, József (2021) The Uniformity Conjecture in Additive Combinatorics. SIAM JOURNAL ON DISCRETE MATHEMATICS, 35 (1). pp. 307-321. ISSN 0895-4801

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Abstract

In this paper we show examples for applications of the Bombieri-Lang conjecture in additive combinatorics, giving bounds on the cardinality of sumsets of squares and higher powers of integers. Using similar methods we give bounds on the sum-product problem for matchings.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 28 Apr 2021 18:21
Last Modified: 25 Apr 2023 09:53
URI: http://real.mtak.hu/id/eprint/124688

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