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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B77-16.pdf | 86.6 kB | Adobe PDF | 見る/開く |
| タイトル: | The Fourier coefficients of the McKay-Thompson series and the traces of CM values, an announcement (Algebraic Number Theory and Related Topics 2016) |
| 著者: | Matsusaka, Toshiki |
| 著者名の別形: | 松坂, 俊輝 |
| キーワード: | 11F30 11F03 elliptic modular function Fourier coefficients moonshine complex multiplication Jacobi forms |
| 発行日: | Apr-2020 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B77 |
| 開始ページ: | 259 |
| 終了ページ: | 263 |
| 抄録: | This is an announcement of our results [8] on the arithmetic formulas for the Fouriercoefficients of the McKay-Thompson series of square-free level N.The elliptic modular function j(Ƭ) enjoys many beautiful properties. Its Fourier coeffi-cients are related to the Monster group, and its CM values generate abelian extensions overimaginary quadratic fields. Kaneko established a relation between the Fourier coefficients andCM values. In this article, we are concerned with analogues of Kaneko's result for the McKay-Thompson series. |
| 記述: | "Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/260624 |
| 出現コレクション: | B77 Algebraic Number Theory and Related Topics 2016 |
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