A functional relation for analytic continuation of a multiple polylogarithm

Yusuke Kusunoki; Yayoi Nakamura; Yoshitaka Sasaki

doi:10.4064/aa190101-22-6

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A functional relation for analytic continuation of a multiple polylogarithm

Volume 195 / 2020

Yusuke Kusunoki, Yayoi Nakamura, Yoshitaka Sasaki Acta Arithmetica 195 (2020), 131-148 MSC: Primary 11M32; Secondary 33B15, 30B40. DOI: 10.4064/aa190101-22-6 Published online: 18 May 2020

Abstract

Analytic continuation of a multiple polylogarithm is studied, and an explicit functional relation for such functions is given in and outside the unit circle.

Authors

Yusuke KusunokiKindai University
3-4-1 Kowakae, Higashiosaka
Osaka, Japan
e-mail
Yayoi NakamuraKindai University
3-4-1 Kowakae, Higashiosaka
Osaka, Japan
e-mail
Yoshitaka SasakiTohoku Gakuin University
1-13-1 Chuo, Tagajo
Miyagi, Japan
e-mail

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Publishing house / Journals and Serials / Acta Arithmetica / All issues

Acta Arithmetica

A functional relation for analytic continuation of a multiple polylogarithm

Volume 195 / 2020

Abstract

Authors

Search for IMPAN publications

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