Open Access
Feb. 2003 A new expression for the product of the two Dirichlet series I
Masumi Nakajima
Proc. Japan Acad. Ser. A Math. Sci. 79(2): 19-22 (Feb. 2003). DOI: 10.3792/pjaa.79.19

Abstract

A new expression for the product of the two Dirichlet series is given. From this new expression we derive many results. Among other things we give here another proof of Wilton's expression for the product of two Riemann's zeta functions through our new expression. Other results including mean value theorems will be treated elsewhere.

Citation

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Masumi Nakajima. "A new expression for the product of the two Dirichlet series I." Proc. Japan Acad. Ser. A Math. Sci. 79 (2) 19 - 22, Feb. 2003. https://doi.org/10.3792/pjaa.79.19

Information

Published: Feb. 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1114.11072
MathSciNet: MR1960737
Digital Object Identifier: 10.3792/pjaa.79.19

Subjects:
Primary: 11M06 , 11M41

Keywords: Dirichlet series , the Riemann zeta function

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 2 • Feb. 2003
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