Linear independence of indefinite iterated Eisenstein integrals

Abstract

We prove linear independence of indefinite iterated Eisenstein integrals over the fraction field of the ring of formal power series $\mathbb{Z}[[q]]$. Our proof relies on a general criterium for linear independence of iterated integrals, which has been established by Deneufch{â}tel, Duchamp, Minh and Solomon. As a corollary, we obtain $\mathbb{C}$-linear independence of indefinite iterated Eisenstein integrals, which has applications to the study of elliptic multiple zeta values, as defined by Enriquez.

The content of this paper has been incorporated into the joint paper arXiv:1703.09410 of the author. Furthermore, the main result of the present paper has been generalized substantially in arXiv:1708.04561 by the author. For these two reasons, the present paper has become obsolete and was withdrawn

References in corpus (1)

• Elliptic multiple zeta values and one-loop superstring amplitudes

Cited by in corpus (2)

• Decomposition of elliptic multiple zeta values and iterated Eisenstein integrals
• The meta-abelian elliptic KZB associator and periods of Eisenstein series