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  Relations between elliptic multiple zeta values and a special derivation algebra

Brödel, J., Matthes, N., & Schlotterer, O. (2016). Relations between elliptic multiple zeta values and a special derivation algebra. Journal of Physics A: Mathematical and Theoretical, 49(15): 155203. doi:http://dx.doi.org/10.1088/1751-8113/49/15/155203.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-F409-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-5F68-1
Genre: Journal Article

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1507.02254.pdf (Preprint), 823KB
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 Creators:
Brödel, Johannes1, Author              
Matthes, Nils, Author
Schlotterer, Oliver2, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
 Abstract: We investigate relations between elliptic multiple zeta values and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based on representing elliptic multiple zeta values as iterated integrals over Eisenstein series and exploiting the connection with a special derivation algebra. Its commutator relations give rise to constraints on the iterated integrals over Eisenstein series relevant for elliptic multiple zeta values and thereby allow to count the indecomposable representatives. Conversely, the above connection suggests apparently new relations in the derivation algebra. Under https://tools.aei.mpg.de/emzv we provide relations for elliptic multiple zeta values over a wide range of weights and lengths.

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 Dates: 2015-07-0820162016
 Publication Status: Published in print
 Pages: 43 pages
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 Rev. Method: -
 Identifiers: arXiv: 1507.02254
DOI: http://dx.doi.org/10.1088/1751-8113/49/15/155203
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Title: Journal of Physics A: Mathematical and Theoretical
Source Genre: Journal
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Pages: - Volume / Issue: 49 (15) Sequence Number: 155203 Start / End Page: - Identifier: -