✦ LIBER ✦

A Sum Analogous to the Dedekind Sum and its Mean Value Formula

✍ Scribed by Wenpeng Zhang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 124 KB
Volume: 89
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2624

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

On a Sum Analogous to the Dedekind Sum a

On a Sum Analogous to the Dedekind Sum and Its First Power Mean Value Formula

✍ Zhang Wenpeng; Yi Yuan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 96 KB

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.

On a Cochrane Sum and Its Hybrid Mean Va

On a Cochrane Sum and Its Hybrid Mean Value Formula

✍ Zhang Wenpeng 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 80 KB

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.  2002 Elsevier Science (USA)

A Generalization of the Duality and Sum

A Generalization of the Duality and Sum Formulas on the Multiple Zeta Values

✍ Yasuo Ohno 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 91 KB

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