Journal article
Zeta elements in depth 3 and the fundamental Lie algebra of the infinitesimal Tate curve
- Abstract:
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This paper draws connections between the double shuffle equations and structure of associators; universal mixed elliptic motives as defined by Hain and Matsumoto; and the Rankin-Selberg method for modular forms for $SL_2(\mathbb{Z})$. We write down explicit formulae for zeta elements $\sigma_{2n-1}$ (generators of the Tannaka Lie algebra of the category of mixed Tate motives over $\mathbb{Z}$) in depths up to four, give applications to the Broadhurst-Kreimer conjecture, and completely solve t...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 658.1KB)
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- Publisher copy:
- 10.1017/fms.2016.29
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Authors
Funding
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Forum of Mathematics, Sigma Journal website
- Publication date:
- 2017-01-05
- Acceptance date:
- 2016-08-08
- DOI:
- EISSN:
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2050-5094
- ISSN:
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2050-5094
- Source identifiers:
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661066
Item Description
- Pubs id:
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pubs:661066
- UUID:
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uuid:3dc9c8fb-8a5b-46b4-afe9-147e691733ed
- Local pid:
- pubs:661066
- Deposit date:
- 2016-11-21
Terms of use
- Copyright holder:
- Brown, F
- Copyright date:
- 2017
- Notes:
- © The Author 2017.
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