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 . Our proof relies on a general criterium for linear independence of iterated integrals, which has been established by Deneufch{\^a}tel, Duchamp, Minh and Solomon. As a corollary, we obtain -linear independence of indefinite iterated Eisenstein integrals, which has applications to the study of elliptic multiple zeta values, as defined by Enriquez.
Keywords
Cite
@article{arxiv.1601.05743,
title = {Linear independence of indefinite iterated Eisenstein integrals},
author = {Nils Matthes},
journal= {arXiv preprint arXiv:1601.05743},
year = {2017}
}
Comments
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 For these two reasons, the present paper has become obsolete and was withdrawn