On a polynomial version of the sum-product problem for subgroups

DOI10.1134/S0001434623010017MaRDI QIDQ2690950

S. A. Aleshina, I. V. V'yugin

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08684

zbMATH Keywords

subgrouppolynomialsum-product problemsumset problem

Mathematics Subject Classification ID

Exponential sums and character sums (11Lxx) Sequences and sets (11Bxx) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Cites Work

• Fermat curves over finite fields
• On the few products, many sums problem
• A bound for the number of preimages of a polynomial mapping
• Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\)
• On additive shifts of multiplicative subgroups
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• Additive Decompositions of Subgroups of Finite Fields

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