Journal article

### Zeta elements in depth 3 and the fundamental Lie algebra of the infinitesimal Tate curve

Abstract:

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...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 658.1KB)
Publisher copy:
10.1017/fms.2016.29

### Authors

More by this author
Institution:
University of Oxford
Oxford college:
All Souls College
Role:
Author
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:
2050-5094
ISSN:
2050-5094
Source identifiers:
661066
Pubs id:
pubs:661066
UUID:
uuid:3dc9c8fb-8a5b-46b4-afe9-147e691733ed
Local pid:
pubs:661066
Deposit date:
2016-11-21