Difference between revisions of "Lerch zeta function"
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(Created page with "The Lerch zeta function is defined by $$L(\lambda,\alpha,z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{e^{2i \pi \lambda k}}{(n+\alpha)^z}.$$") |
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The Lerch zeta function is defined by | The Lerch zeta function is defined by | ||
$$L(\lambda,\alpha,z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{e^{2i \pi \lambda k}}{(n+\alpha)^z}.$$ | $$L(\lambda,\alpha,z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{e^{2i \pi \lambda k}}{(n+\alpha)^z}.$$ | ||
| + | |||
| + | =Properties= | ||
| + | [[Relationship between Lerch transcendent and Lerch zeta]]<br /> | ||
| + | |||
| + | =References= | ||
| + | [http://arxiv.org/pdf/1506.06161v1.pdf The Lerch zeta function III. Polylogarithms and special values] | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 17:58, 24 June 2016
The Lerch zeta function is defined by $$L(\lambda,\alpha,z) = \displaystyle\sum_{k=0}^{\infty} \dfrac{e^{2i \pi \lambda k}}{(n+\alpha)^z}.$$
Properties
Relationship between Lerch transcendent and Lerch zeta
References
The Lerch zeta function III. Polylogarithms and special values
