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Explicit logarithmic formulas of special values of hypergeometric functions F-3(2)
| Title: | Explicit logarithmic formulas of special values of hypergeometric functions F-3(2) |
| Authors: | Asakura, Masanori Browse this author →KAKEN DB | | Yabu, Toshifumi Browse this author |
| Keywords: | Periods | | regulators | | complex multiplication | | hypergeometric functions |
| Issue Date: | Aug-2020 |
| Publisher: | World Scientific Publishing |
| Journal Title: | Communications in Contemporary Mathematics |
| Volume: | 22 |
| Issue: | 5 |
| Start Page: | 1950040 |
| Publisher DOI: | 10.1142/S0219199719500408 |
| Abstract: | In [M. Asakura, N. Otsubo and T. Terasoma, An algebro-geometric study of special values of hypergeometric functions F-3(2), to appear in Nagoya Math. J.; https://doi.org/10.1017/nmj.2018.36], we proved that the value of F-3(2)((a,b,q)(a+b,q); 1) of the generalized hypergeometric function is a (Q) over bar -linear combination of log of algebraic numbers if rational numbers a, b, q satisfy a certain condition. In this paper, we present a method to obtain an explicit description of it. |
| Rights: | Electronic version of an article published as Communications in Contemporary Mathematics 22(5) 2020 1950040 10.1142/S0219199719500408 © copyright World Scientific Publishing Company https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500408. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/82331 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 朝倉 政典
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