A hybrid mean value involving Dedekind sums and the generalized Kloosterman sums
type: Item
instance of: scholarly article
title: A hybrid mean value involving Dedekind sums and the generalized Kloosterman sums
zbMATH Open document ID: 1477.11150
DOI: 10.1155/2021/5516217
author: Xiaowei Pan
author: Xiaoyan Guo
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: In this paper, we use the mean value theorem of Dirichlet \(L\)-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 11M06
zbMATH DE Number: 7361846
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5516217
OpenAlex ID: W3141464450
cites work: Q5848411
cites work: Q4097001
cites work: Mean values of Dedekind sums
cites work: On the mean value of Dedekind sums
cites work: On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
cites work: On the mean values of Dedekind sums
cites work: A note on the mean square value of the Dedekind sums
cites work: On a Cochrane sum and its hybrid mean value formula.
cites work: A sum analogous to Dedekind sums and its hybrid mean value formula
cites work: A hybrid mean value of Dedekind sums and Kloosterman sums
cites work: A hybrid mean value related to the Dedekind sums and Kloosterman sums
cites work: Q4101884
cites work: Q3900124
description: scientific article; zbMATH DE number 7361846