English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We give two results on the Lerch zeta function $\Phi(z,\,s,\,w)$. The firstis to give an explicit expression providing both the analytic continuation of$\Phi$ in $n$-variables $(n \in \{1,\,2,\,3\})$ to maximal domains ofholomorphy in $\mathbb{C}^n$ with computable evaluation and an extended formulafor the special values of $\Phi$ at non-positive integers in the variable $s$.The second is to show that Lerch's functional equation is essentially the sameas Apostol's functional equation using the first result.

An explicit expression of the Lerch zeta function on maximal domains of holomorphy