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Euler's integrals and multiple sine functions


Authors: Shin-ya Koyama and Nobushige Kurokawa
Journal: Proc. Amer. Math. Soc. 133 (2005), 1257-1265
MSC (2000): Primary 11M06
Published electronically: December 15, 2004
MathSciNet review: 2111930
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Abstract: We show that Euler's famous integrals whose integrands contain the logarithm of the sine function are expressed via multiple sine functions.


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Additional Information

Shin-ya Koyama
Affiliation: 2-5-27 Hayabuchi, Tsuzuki-ku, Yokohama 224-0025, Japan
Email: koyama@tmtv.ne.jp

Nobushige Kurokawa
Affiliation: Department of Mathematics, Tokyo Institute of Technology, 152-8551, Tokyo, Japan
Email: kurokawa@math.titech.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-04-07863-3
Received by editor(s): August 4, 2003
Published electronically: December 15, 2004
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.