Difference between revisions of "Relationship between Lerch transcendent and Lerch zeta"
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\Phi(e^{2\pi i \lambda},z,a)=L(\lambda,a,z),$$ | $$\Phi(e^{2\pi i \lambda},z,a)=L(\lambda,a,z),$$ | ||
where $\Phi$ denotes the [[Lerch transcendent]] and $L$ denotes the [[Lerch zeta function]]. | where $\Phi$ denotes the [[Lerch transcendent]] and $L$ denotes the [[Lerch zeta function]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 16:34, 20 June 2016
Theorem
The following formula holds: $$\Phi(e^{2\pi i \lambda},z,a)=L(\lambda,a,z),$$ where $\Phi$ denotes the Lerch transcendent and $L$ denotes the Lerch zeta function.
