Powers of Gauss sums in quadratic fields

DOI10.1016/J.JNT.2021.08.015OpenAlexW3199437550WikidataQ114156747 ScholiaQ114156747MaRDI QIDQ2162796

Koji Momihara

Publication date: 9 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14528

zbMATH Keywords

index 2 Gauss sum1st generalized Bernoulli numberpure Gauss sum

Mathematics Subject Classification ID

Quadratic extensions (11R11) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

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• Complete solving of explicit evaluation of Gauss sums in the index 2 case
• Calculation of certain Gauss sums
• Independence of modular units on Tate curves
• Quadratic Gauss sums
• The evaluation of Gauss sums for characters of 2-power order
• Sign or root of unity ambiguities of certain Gauss sums
• Gauss sum of index 4. I: Cyclic case
• Gauss sum of index 4. II: Non-cyclic case
• Pure Gauss sums and skew Hadamard difference sets
• Evaluation of Gauss Sums for 2-Power Order in Index 4
• Pure Gauss sums over finite fields
• ON GAUSSIAN SUMS

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