The main purpose of this paper is using the mean value theorem of the Dirichlet L-functions to study the distribution property of a sums analogous to the Dedekind sums, and give an interesting mean square value formula.
On a Cochrane Sum and Its Hybrid Mean Value Formula
โ Scribed by Zhang Wenpeng
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 80 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum and to give an interesting mean value formula. ๏ฃฉ 2002 Elsevier Science (USA)
๐ SIMILAR VOLUMES
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of the sums analogous to Dedekind sums and give a sharper first power mean value formula.
In this paper we present a relation among the multiple zeta values which generalizes simultaneously the ``sum formula'' and the ``duality'' theorem. As an application, we give a formula for the special values at positive integral points of a certain zeta function of Arakawa and Kaneko in terms of mu