Some New Identities Related to Dedekind Sums Modulo a Prime

The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give some interesting identities for them.

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Main Author: Jiayuan Hu
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/8844153
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author Jiayuan Hu
author_facet Jiayuan Hu
author_sort Jiayuan Hu
collection DOAJ
description The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give some interesting identities for them.
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series Journal of Mathematics
spelling doaj-art-ce82bac2c48144bb8925ea0b230324d72025-02-03T07:23:44ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/8844153Some New Identities Related to Dedekind Sums Modulo a PrimeJiayuan Hu0College of ScienceThe main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give some interesting identities for them.http://dx.doi.org/10.1155/2024/8844153
spellingShingle Jiayuan Hu
Some New Identities Related to Dedekind Sums Modulo a Prime
Journal of Mathematics
title Some New Identities Related to Dedekind Sums Modulo a Prime
title_full Some New Identities Related to Dedekind Sums Modulo a Prime
title_fullStr Some New Identities Related to Dedekind Sums Modulo a Prime
title_full_unstemmed Some New Identities Related to Dedekind Sums Modulo a Prime
title_short Some New Identities Related to Dedekind Sums Modulo a Prime
title_sort some new identities related to dedekind sums modulo a prime
url http://dx.doi.org/10.1155/2024/8844153
work_keys_str_mv AT jiayuanhu somenewidentitiesrelatedtodedekindsumsmoduloaprime