Iterated integrals of modular forms and noncommutative modular symbols

Iterated integrals of modular forms and noncommutative modular symbols
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模形式和非交换模符号的迭代积分

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发表时间:
2005
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通讯作者:
Y. Manin
Y. Manin
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作者:
Y. Manin

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本文的主要目的是研究上半平面上的模形式的迭代积分的性质,可能乘以z s−1,沿着连接两个尖点的测地线。这种设置同时推广了模块化符号和多个zeta值的理论。
The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper half-plane, possibly multiplied by z s−1, along geodesics connecting two cusps. This setting generalizes simultaneously the theory of modular symbols and that of multiple zeta values.