Algebraicity and transcendency of basic special values of Shintani's double sine functions

Nobushige Kurokawa; Masato Wakayama

doi:10.1017/S0013091504001579

Algebraicity and transcendency of basic special values of Shintani's double sine functions

Nobushige Kurokawa, Masato Wakayama

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Abstract

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.

Original language	English
Pages (from-to)	361-366
Number of pages	6
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	49
Issue number	2
DOIs	https://doi.org/10.1017/S0013091504001579
Publication status	Published - Jun 1 2006

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1017/S0013091504001579

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title = "Algebraicity and transcendency of basic special values of Shintani's double sine functions",

abstract = "We study algebraicity and transcendency of certain basic special values of the double sine functions due to H{\"o}lder and Shintani by employing the zeta regularized product expressions.",

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Algebraicity and transcendency of basic special values of Shintani's double sine functions

Abstract

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