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ZETA-FUNCTIONS OF ROOT SYSTEMS
http://hdl.handle.net/2237/20355
http://hdl.handle.net/2237/20355c119bc12-480b-413e-ac7e-f09bb8de928a
名前 / ファイル | ライセンス | アクション |
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Item type | 図書の一部 / Book Chapter(1) | |||||
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公開日 | 2014-06-20 | |||||
タイトル | ||||||
タイトル | ZETA-FUNCTIONS OF ROOT SYSTEMS | |||||
言語 | en | |||||
著者 |
KOMORI, YASUSHI
× KOMORI, YASUSHI× MATSUMOTO, KOHJI× TSUMURA, HIROFUMI |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | Zeta-functions of Root Systems, Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura, in The Conference on L-Functions edited by Lin Weng, Masanobu Kaneko, Copyright @2007. with permission from World Scientific Publishing Co. Pte. Ltd. | |||||
抄録 | ||||||
内容記述 | In this paper, we introduce multi-variable zeta-functions of roots, and prove the analytic continuation of them. For the root systems associated with Lie algebras, these functions are also called Witten zeta-functions associated with Lie algebras which can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case of type Ar, we have already studied some analytic properties in our previous paper. In the present paper, we prove certain functional relations among these functions of types Ar (r = 1; 2; 3) which include what is called Witten’s volume formulas. Moreover we mention some structural background of the theory of functional relations in terms of Weyl groups. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | The Conference on L-Functions. Fukuoka, Japan, 18 – 23 February 2006 | |||||
言語 | en | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | World Scientific Publishing | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_3248 | |||||
タイプ | book part | |||||
ISBN | ||||||
関連タイプ | isPartOf | |||||
識別子タイプ | ISBN | |||||
関連識別子 | 978-981-270-504-4 | |||||
関連情報 | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | URI | |||||
関連識別子 | http://www.worldscientific.com/worldscibooks/10.1142/6363 | |||||
書誌情報 |
en : The Conference on L-Functions p. 115-140, 発行日 2006-12 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://www.worldscientific.com/worldscibooks/10.1142/6363 | |||||
識別子タイプ | URI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20355 | |||||
識別子タイプ | HDL |