Mumford形式的乘积公式和Schottky群Ruelle zeta值的合理性
A product formula of Mumford forms, and the rationality of Ruelle zeta values for Schottky groups
摘要：
在任意正亏格情形下，给出了Schottky群的类似Selberg型zeta值的无穷乘积表示的Mumford型的显式表达式.这一结果被认为是Ramanujan δ函数在亏格1情形下公式的推广，特别适用于研究Schottky群Ruelle zeta值的合理性.
英文摘要：
In any positive genus case, we show an explicit formula of the Mumford forms expressed by infinite products like Selberg type zeta values for Schottky groups. This result is considered as an extension of the formula in terms of Ramanujan's Delta function in the genus 1 case, and is especially applied to studying the rationality of Ruelle zeta values for Schottky groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
