Generalized quadratic Gauss sums and their 2 m th power mean
Abstract: The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth power mean. Thus, a new simple proof of this existing result [N. Bag, A. Rojas-León, and W. P. Zhang, On some conjectures on generalized quadratic Gauss sums and related problems, Finite Fields Appl. 86 (2023), 10213] is provided.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Generalized quadratic Gauss sums and their 2 m th power mean ; volume:22 ; number:1 ; year:2024 ; extent:8
Open mathematics ; 22, Heft 1 (2024) (gesamt 8)
- Creator
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Cui, Dewang
Zhang, Wenpeng
- DOI
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10.1515/math-2024-0074
- URN
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urn:nbn:de:101:1-2411021445314.491619307086
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:32 AM CEST
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Associated
- Cui, Dewang
- Zhang, Wenpeng
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