Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T05:48:33.055Z Has data issue: false hasContentIssue false
  • English
  • Français

!ALGEBRAICITY AND TRANSCENDENCY OF BASIC SPECIAL VALUES OF SHINTANI’S DOUBLE SINE FUNCTIONS

Published online by Cambridge University Press:  30 May 2006

Nobushige Kurokawa  and
Masato Wakayama
Nobushige Kurokawa
Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Oh-okayama Meguro, Tokyo, 152-0033, Japan ([email protected])
Masato Wakayama
Affiliation:
Faculty of Mathematics, Kyushu University, Hakozaki Fukuoka 812-8581, Japan ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study algebraicity and transcendency of certain basic special values of the double sine functions due to Hölder and Shintani by employing the zeta regularized product expressions.

Keywords

Primary 11M36algebraicitytranscendencydouble sine function
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 2 , June 2006 , pp. 361 - 366
Copyright
Copyright © Edinburgh Mathematical Society 2006