论文标题

在一系列Ramanujan,Diologarithm值和孤子中

On a series of Ramanujan, dilogarithm values, and solitons

论文作者

Boyadzhiev, Khristo, Manns, Steven

论文摘要

我们讨论了一些与小聚集体相关的主题,重点是二聚体。主题是:具有来自Ramanujan的谐波数的生成函数,将Diologarithm扩展到了单位磁盘以外的复数,并将各构型与Bernoulli多项式和孤子相关联。对现有表示形式进行了一些改进和更正。

We discuss several topics related to polylogarithms with focus on dilogarithms. The topics are: a generating function with harmonic numbers coming from Ramanujan, extending the dilogarithm to complex numbers beyond the unit disk, and relating polylogarithms to Bernoulli polynomials and to solitons. Several improvements and corrections are made to existing representations.

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