Zeta Elements in Depth 3 and the Fundamental Lie Algebra of the Infinitesimal Tate Curve
نویسنده
چکیده
This paper draws connections between the double shuffle equations and structure of associators; Hain and Matsumoto’s universal mixed elliptic motives; and the Rankin–Selberg method for modular forms for SL2(Z). We write down explicit formulae for zeta elements σ2n−1 (generators of the Tannaka Lie algebra of the category of mixed Tate motives over Z) in depths up to four, give applications to the Broadhurst–Kreimer conjecture, and solve the double shuffle equations for multiple zeta values in depths two and three. 2010 Mathematics Subject Classification: 11M32 (primary); 11F67 (secondary)
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