论文标题
多个Dedekind符号
Multiple Dedekind Symbols
论文作者
论文摘要
在本文中，我们研究了多个Dedekind符号和相关的多个互惠功能。标准化后两组之间有两组。通过这种培养，我们定义了多个互惠函数的产品，并研究与洗牌特性的关系。我们通过正则化迭代的积分来构建和计算带有模块化形式的多个Dedekind符号，并将多个互惠函数改组。我们也为他们分解。
In this paper we study multiple Dedekind symbols and the associated multiple reciprocity functions. There is a bijection between the two sets of them after a normalization. By this bijection we define products of multiple reciprocity functions, and study the relationship to the shuffle property. We construct and calculate shuffled multiple Dedekind symbols and shuffled multiple reciprocity functions from modular forms by regularized iterated integrals. Also we give a decomposition for them.
