Author
Brown, F
Journal title
Forum of Mathematics, Sigma
DOI
10.1017/fms.2016.29
Last updated
2024-03-11T23:41:47.29+00:00
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 the double shuffle equations for multiple zeta values in depths two and three
Symplectic ID
661066
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Publication type
Journal Article
Publication date
05 Jan 2017
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