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ファイル | 記述 | サイズ | フォーマット | |
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B51-16.pdf | 3.38 MB | Adobe PDF | 見る/開く |
タイトル: | Atkin and Swinnerton-Dyer congruences and noncongruence modular forms (Algebraic Number Theory and Related Topics 2012) |
著者: | Li, Wen-Ching Winnie Long, Ling |
キーワード: | 11F11 11F33 33C20 |
発行日: | Oct-2014 |
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: | B51 |
開始ページ: | 269 |
終了ページ: | 299 |
抄録: | Atkin and Swinnerton-Dyer congruences are special congruence recursions satised by coefficients of noncongruence modular forms. These are in some sense p-adic analogues of Hecke recursion satised by classic Hecke eigenforms. They actually appeared in different contexts and sometimes can be obtained using the theory of formal groups. In this survey paper, we introduce the Atkin and Swinnerton-Dyer congruences, and discuss some recent progress on this topic. |
記述: | "Algebraic Number Theory and Related Topics 2012". December 3~7, 2012. edited by Atsushi Shiho, Tadashi Ochiai and Noriyuki Otsubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/232903 |
出現コレクション: | B51 Algebraic Number Theory and Related Topics 2012 |
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