论文标题

与尖端形式相关的模块化迭代积分

Modular iterated integrals associated with cusp forms

论文作者

Diamantis, Nikolaos

论文摘要

我们构建了一个涉及尖端形式的模块化迭代积分的明确家族。这导致了一种新的模块化形式迭代积分“不变版本”的方法。该构建将基于高阶模块化形式的扩展,与标准的高阶形式相反,该形式适用于第一类的一般fuchsian群体,因此具有独立的关注。

We construct an explicit family of modular iterated integrals which involves cusp forms. This leads to a new method of producing "invariant versions" of iterated integrals of modular forms. The construction will be based on an extension of higher-order modular forms which, in contrast to the standard higher-order forms, applies to general Fuchsian groups of the first kind and, as such, is of independent interest.

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