pith. sign in

arxiv: 1703.09597 · v2 · pith:F6XMFA7Xnew · submitted 2017-03-28 · 🧮 math.NT

Decomposition of elliptic multiple zeta values and iterated Eisenstein integrals

classification 🧮 math.NT
keywords decompositionellipticmultiplevalueszetaeisensteinintegralsiterated
0
0 comments X
read the original abstract

We describe a decomposition algorithm for elliptic multiple zeta values, which amounts to the construction of an injective map $\psi$ from the algebra of elliptic multiple zeta values to a space of iterated Eisenstein integrals. We give many examples of this decomposition, and conclude with a short discussion about the image of $\psi$. It turns out that the failure of surjectivity of $\psi$ is in some sense governed by period polynomials of modular forms.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A construction of single-valued elliptic polylogarithms

    hep-th 2025-11 unverdicted novelty 7.0

    A construction of single-valued elliptic polylogarithms on the punctured elliptic curve is given that reduces to Brown's genus-zero condition upon torus degeneration.

  2. Towards Motivic Coactions at Genus One from Zeta Generators

    hep-th 2025-08 unverdicted novelty 6.0

    Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple mo...