Sum of the Hurwitz‐Lerch Zeta Function over Natural Numbers: Derivation and Evaluation
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Bibliographic record
Abstract
We consider a Hurwitz‐Lerch zeta function Φ( s , z , a ) sum over the natural numbers. We provide an analytically continued closed form solution for this sum in terms of the addition of Hurwitz‐Lerch zeta functions. A new recurrence identity with consecutive neighbours and the product of trigonometric functions is derived.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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