Generalized quadratic Gauss sums and their 2 m th power mean

The main purpose of this article is to study the problem of calculating the 2 m th 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 2 m th power mean. Thus, a new simple proof of thi...

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Poland), 2024-11, Vol.22 (1)
Main Authors: Cui, Dewang, Zhang, Wenpeng
Format: Article
Language:English
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Summary:The main purpose of this article is to study the problem of calculating the 2 m th 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 2 m th 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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2024-0074