On Ramanujan sums over a Dedekind domain with finite norm property

DOI10.1007/s10114-023-2156-0OpenAlexW4322392165MaRDI QIDQ2690114

Zhiyong Zheng, Zi Wei Hong, Man Chen

Publication date: 15 March 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-2156-0

zbMATH Keywords

orthogonality propertyDedekind domainsRamanujan sumsreciprocity formulaprimitive additive character

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Arithmetic functions; related numbers; inversion formulas (11A25) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Supercharacters and superclasses for algebra groups
• The average size of Ramanujan sums over quadratic number fields

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