Arithmetic combinatorics on Vinogradov systems

Mudgal, Akshat

doi:10.1090/tran/8121

Arithmetic combinatorics on Vinogradov systems
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Trans. Amer. Math. Soc. 373 (2020), 5491-5516 Request permission

Abstract:

In this paper, we present a variant of the Balog–Szemerédi–Gowers theorem for the Vinogradov system. We then use our result to deduce a higher degree analogue of the sum-product phenomenon.

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