Publications de l’Institut Mathématique, Nouvelle Série, Vol. 100[114], No. 1/1, pp. 229

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 229–241 (2016)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

THE FOURTH POWER MOMENT OF THE DOUBLE ZETA-FUNCTION

Isao Kiuchi

Department of Mathematical Sciences, Yamaguchi University, Yamaguchi, Yoshida, Japan

Abstract: We prove the fourth power moment of the Euler–Zagier type double zeta-function $ζ_{2} (s_{1}, s_{2})$ and provide an improvement on the $Ω$ results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral under certain conditions.

Keywords: double zeta-functions; fourth power moment; the Riemann zeta-function

Classification (MSC2000): 11M41; 11M06

Full text of the article: (for faster download, first choose a mirror)

Compressed DVI file (28 kilobytes)
Compressed PostScript file (432 kilobytes)
PDF file (156 kilobytes)

Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

© 2016 Mathematical Institute of the Serbian Academy of Science and Arts
© 2016 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition