| ID | 66008 |
| FullText URL | |
| Author |
Shiraishi, Densuke
Department of Mathematics, Graduate School of Science, Osaka University
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| Abstract | 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.
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| Keywords | multiple polylogarithm
ℓ-adic Galois multiple polylogarithm
duality-reflection formula
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| Note | Mathematics Subject Classification. Primary 11G55; Secondary 11F80, 14H30.
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| Published Date | 2024-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume66
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 159
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| End Page | 169
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol66/iss1/11
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