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ID 66008
フルテキストURL
著者
Shiraishi, Densuke Department of Mathematics, Graduate School of Science, Osaka University
抄録
In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points.
キーワード
multiple polylogarithm
ℓ-adic Galois multiple polylogarithm
duality-reflection formula
備考
Mathematics Subject Classification. Primary 11G55; Secondary 11F80, 14H30.
発行日
2024-01
出版物タイトル
Mathematical Journal of Okayama University
66巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
159
終了ページ
169
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
英語
著作権者
Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol66/iss1/11