Sums of Powers in Large Finite Fields: A Mix of Methods

DOI10.1080/00029890.2021.1943117zbMath1470.11314arXiv2009.09518OpenAlexW3204261835MaRDI QIDQ3379605

Vitaly Bergelson, Alexander Iosevich, Andrew Best

Publication date: 27 September 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09518

zbMATH Keywords

large finite fieldssum of two \(d\)th powers

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Representation problems (11D85)

Related Items (1)

The Furstenberg-Sárközy theorem and asymptotic total ergodicity phenomena in modular rings

Cites Work

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• On Some Exponential Sums
• Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field
• Numbers of solutions of equations in finite fields
• On the Nature of the Solutions of Certain Equations in a Finite Field

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