Journal of the Ramanujan Mathematical Society

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Certain Series Related to the Triple Sine Function


Affiliations
1 2-5-27, Hayabuchi, Tsuzuki-Ku, Yokohama 224-0025, Japan
2 Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama, Meguro-Ku, Tokyo 152-8551, Japan
     

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We compute special values of Dirichlet series whose coefficients are given by the inverse of certain binomial coefficients via the triple sine function.
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  • Certain Series Related to the Triple Sine Function

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Authors

Shin-Ya Koyama
2-5-27, Hayabuchi, Tsuzuki-Ku, Yokohama 224-0025, Japan
Nobushige Kurokawa
Department of Mathematics, Tokyo Institute of Technology, Oh-Okayama, Meguro-Ku, Tokyo 152-8551, Japan

Abstract


We compute special values of Dirichlet series whose coefficients are given by the inverse of certain binomial coefficients via the triple sine function.