Values of the double sine function |
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| Authors: | Shin-ya Koyama Nobushige Kurokawa |
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| Affiliation: | a Zeta Institute, 2-5-27, Hayabuchi, Tsuzuki-ku, Yokohama 224-0025, Japan
b Department of Mathematics, Tokyo Institute of Technology, Oo-okayama, Meguro-ku, Tokyo 152-8551, Japan |
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| Abstract: | We calculate basic values of the double sine function. The algebraicity for some special values is proved. Its behavior in the fundamental domain is also studied. Especially we show that it has just two extremes: one relative maximum and one relative minimum. Asymptotic formulas for these extremal values are proved. |
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| Keywords: | 11M06 |
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