Modular forms and \(q\)-analogues of modified double zeta values

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Publication:2024491

DOI10.1007/S12188-020-00227-7zbMATH Open1469.11069arXiv1808.09674OpenAlexW3100563633MaRDI QIDQ2024491

Author name not available (Why is that?)

Publication date: 4 May 2021

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1808.09674



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