A Hybrid Mean Value Formula of Dedekind Sums and Hurwitz Zeta-Functions

2002 ◽  
pp. 395-408
Author(s):  
Wenpeng Zhang
Keyword(s):  
Zeta Functions ◽  
Mean Value ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
Mean Value Formula

scholarly journals The hybrid mean value of Dedekind sums and two-term exponential sums

2016 ◽  
Vol 14 (1) ◽  
pp. 436-442
Author(s):  
Chang Leran ◽  
Li Xiaoxue
Keyword(s):  
Asymptotic Formula ◽  
Exponential Sums ◽  
Mean Value ◽  
Gauss Sums ◽  
Mean Value Theorem ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
The Mean ◽  
Interesting Identity

AbstractIn this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.

scholarly journals Mean Value of the General Dedekind Sums over Interval \({[1,\frac{q}{p})}\)

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2079
Author(s):  
Lei Liu ◽  
Zhefeng Xu
Keyword(s):  
Character Sums ◽  
Mean Value ◽  
Dedekind Sums ◽  
Hybrid Mean Value ◽  
Asymptotic Formulae ◽  
The Mean

Let q>2 be a prime, p be a given prime with p<q. The main purpose of this paper is using transforms, the hybrid mean value of Dirichlet L-functions with character sums and the related properties of character sums to study the mean value of the general Dedekind sums over interval [1,qp), and give some interesting asymptotic formulae.

A hybrid mean value related to the Dedekind sums and Kloosterman sums

2010 ◽  
Vol 27 (3) ◽  
pp. 435-440
Author(s):  
Yan Ni Liu ◽  
Wen Peng Zhang
Keyword(s):  
Mean Value ◽  
Kloosterman Sums ◽  
Dedekind Sums ◽  
Hybrid Mean Value

scholarly journals On the General Dedekind Sums and Two-Term Exponential Sums

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Junli Zhang ◽  
Wenpeng Zhang
Keyword(s):  
Exponential Sums ◽  
Mean Value ◽  
Gauss Sums ◽  
Dedekind Sums ◽  
Computational Formula ◽  
Computational Problem ◽  
Hybrid Mean Value ◽  
Analytic Methods

We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for it.

scholarly journals A hybrid mean value of Dedekind sums and Kloosterman sums

2015 ◽  
Vol 147 ◽  
pp. 861-870 ◽  
Author(s):  
Wenpeng Zhang ◽  
Di Han
Keyword(s):  
Mean Value ◽  
Kloosterman Sums ◽  
Dedekind Sums ◽  
Hybrid Mean Value

On a Generalized Cochrane Sum and Its Hybrid Mean Value Formula

2005 ◽  
Vol 9 (3) ◽  
pp. 373-380 ◽  
Author(s):  
Liu Hongyan ◽  
Zhang Wenpeng
Keyword(s):  
Mean Value ◽  
Hybrid Mean Value ◽  
Mean Value Formula ◽  
Cochrane Sum
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