关于某些Jacobi和的r -进值

IF 0.3 4区数学 Q4 MATHEMATICS

Journal De Theorie Des Nombres De Bordeaux Pub Date : 2021-09-10 DOI:10.5802/jtnb.1171

V. Arul

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引用次数: 2

摘要

雅可比和在数论中无处不在，而同余通常为研究雅可比和提供了一种有用的方法。Jacobi和的p进同余来自于Stickelberger的同余，在[Eva98]、[Mik87]、[Iwa75]、[Iha86]和[Ueh87]中已经研究了各种'进同余'。我们为某些雅可比和建立了一个新的进同余。

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On the ℓ-adic valuation of certain Jacobi sums

Jacobi sums are ubiquitous in number theory, and congruences often provide a helpful way to study them. A p-adic congruence for Jacobi sums comes from Stickelberger’s congruence, and various `-adic congruences have been studied in [Eva98], [Mik87], [Iwa75], [Iha86], and [Ueh87]. We establish a new `-adic congruence for certain Jacobi sums.

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来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).