余数有限Dedekind区域上的广义Ramanujan和

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2025-03-18 DOI:10.1007/s10474-025-01522-6

T. Qi

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引用次数: 0

摘要

本文将Cohen- ramanujan和推广到任意剩余有限Dedekind区域。我们得到了进一步的性质，可以看作是由Zheng[16]和Zheng- chen - hong[27]所提供的性质的推广。特别地，我们说明Cohen-Ramanujan和的集合可以作为傅里叶展开的基，就像经典的Ramanujan和一样。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A generalized Ramanujan sum over a residually finite Dedekind domain

This paper extends the Cohen-Ramanujan sum originally defined by Cohen to arbitrary residually finite Dedekind domains. We derive further properties that can be viewed as generalizations of those provided by Zheng [16] and Zheng-Chen-Hong [27]. In particular, we illustrate that the set of the Cohen-Ramanujan sums can be used as a basis for Fourier expansions just as the classical Ramanujan sums can.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.