Modular forms and q-analogues of modified double zeta values

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 relati...

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Bibliographic Details
Published in:arXiv.org 2018-08
Main Author: Bachmann, Henrik
Format: Article
Language:English
Subjects:
Polynomials
Online Access:Get full text
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Summary: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.
ISSN:2331-8422