Connections between Double Zeta Values relative to μ_N, Hecke Operators T_N, and Newforms of Level Γ₀(N) for N=2,3

2015/11/19 by Ma, Ding
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1511.06102

Abstract

In this paper, we will study various connections between double zeta values relative to μ_N, Hecke operators T_N, and newforms of level Γ₀(N) for N=2,3. Those various connections generalize the well-known of Baumard and Schneps. We also give a conjecture about the Eichler-Shimura-Manin correspondence between S_k^\textrmnew(Γ₀(2))^±, S_k^\textrmnew(Γ₀(3))^± and some period polynomial spaces.

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