Colored double zeta values and modular forms of general level

Minoru Hirose

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arXiv · 2205.08507

Colored double zeta values and modular forms of general level

Minoru Hirose

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Abstract

Gangl, Kaneko, and Zagier gave explicit linear relations among double zeta values of odd indices coming from the period polynomials of modular forms for ${\rm SL}(2,\mathbb{Z})$. In this paper, we generalize their result to the linear relations among colored double zeta values of level $N$ coming from the modular forms for level $N$ congruence subgroups.

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Minoru Hirose. 2022-05-17. Colored double zeta values and modular forms of general level. https://arxiv.org/abs/2205.08507

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