论文标题

彩色双Zeta值和一般水平的模块化形式

Colored double zeta values and modular forms of general level

论文作者

Hirose, Minoru

论文摘要

Gangl,Kaneko和Zagier给出了来自$ {\ rm sl}的模块化表单的多项式的奇数指数的双重Zeta值之间的显式线性关系(2,\ Mathbb {z})$。在本文中,我们将它们的结果推广到来自级别$ n $一致性子组的级别$ n $的彩色双zeta值之间的线性关系。

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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