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  Special values of finite multiple harmonic q-series at roots of unity

Bachmann, H., Takeyama, Y., & Tasaka, K. (2020). Special values of finite multiple harmonic q-series at roots of unity. In F. Chapoton, F. Fauvet, C. Malvenuto, & J.-Y. Thibon (Eds.), Algebraic combinatorics, resurgence, moulds and applications (CARMA). Vol. 2 (pp. 1-18). Berlin: European Mathematical Society.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-9E48-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0008-9E49-5
Genre: Conference Paper

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 Creators:
Bachmann, Henrik1, Author           
Takeyama, Yoshihiro, Author
Tasaka, Koji, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 Abstract: We study special values of finite multiple harmonic q-series at roots of
unity. These objects were recently introduced by the authors and it was shown
that they have connections to finite and symmetric multiple zeta values and the
Kaneko-Zagier conjecture. In this note we give new explicit evaluations for
finite multiple harmonic q-series at roots of unity and prove Ohno-Zagier-type
relations for them.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 18 S.
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1807.00411
 Degree: -

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Title: CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications)
Place of Event: Luminy, France
Start-/End Date: 2017-06-26 - 2017-06-30

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Source 1

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Title: Algebraic combinatorics, resurgence, moulds and applications (CARMA). Vol. 2
Source Genre: Proceedings
 Creator(s):
Chapoton, Frédéric, Editor
Fauvet, Frédéric, Editor
Malvenuto, Claudia, Editor
Thibon, Jean-Yves, Editor
Affiliations:
-
Publ. Info: Berlin : European Mathematical Society
Pages: 383 S. Volume / Issue: 2 Sequence Number: - Start / End Page: 1 - 18 Identifier: ISBN: 978-3-03719-205-4
DOI: 10.4171/205

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Title: IRMA Lectures in Mathematics and Theoretical Physics
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 32 Sequence Number: - Start / End Page: - Identifier: -