Additive double character sums over some structured sets and applications

DOI10.4064/AA190628-19-1zbMath1482.11158arXiv2011.13891OpenAlexW3137047233MaRDI QIDQ5156872

Cathy Swaenepoel, Arne Winterhof

Publication date: 12 October 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13891

zbMATH Keywords

finite fieldscharacter sumsadditive energytrace productssumproduct equations

Mathematics Subject Classification ID

Exponential sums (11T23) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (1)

An energy decomposition theorem for matrices and related questions

Cites Work

• Equations in finite fields with restricted solution sets. I: Character sums
• Equations in finite fields with restricted solution sets. II: Algebraic equations
• Trace of products in finite fields
• Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions
• On sums and products of residues modulo p
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
• Unnamed Item

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