论文标题
扩展更高的Herglotz函数\ textup {ii}
Extended Higher Herglotz function \textup{II}
论文作者
论文摘要
最近，Radchenko和Zagier恢复了Herglotz功能的理论。本文的主要目的是表明，Ramanujan的《丢失笔记本》第220页上的一个公式实际上生活在该理论领域。由于我们的一般定理，我们得出了一种类似于Ramanujan的公式（2M+1）$的有趣身份。我们还介绍了Herglotz函数的角色类似物，并通过获得由其控制的优雅功能方程来启动其理论。
Very recently, Radchenko and Zagier revived the theory of Herglotz functions. The main goal of the article is to show that one of the formulas on page 220 of Ramanujan's Lost Notebook actually lives in the realms of this theory. As a consequence of our general theorem, we derive an interesting identity analogous to Ramanujan's formula for $ζ(2m+1)$. We also introduce a character analogue of the Herglotz function and initiate its theory by obtaining an elegant functional equation governed by it.
