Modular forms and q-analogues of modified double zeta values
Number Theory
2018-08-30 v1
Abstract
We present explicit formulas for Hecke eigenforms as linear combinations of q-analogues of modified double zeta values. As an application, we obtain period polynomial relations and sum formulas for these modified double zeta values. These relations have similar shapes as the period polynomial relations of Gangl, Kaneko and Zagier and the usual sum formulas for classical double zeta values.
Keywords
Cite
@article{arxiv.1808.09674,
title = {Modular forms and q-analogues of modified double zeta values},
author = {Henrik Bachmann},
journal= {arXiv preprint arXiv:1808.09674},
year = {2018}
}
Comments
11 pages