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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Official URL: http://doi.org/10.1137/20M1367672
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 |
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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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