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

The author gives the full list of his conjectures on series for powers of$\pi$ and other important constants scattered in some of his public papers orhis private diaries. The list contains 234 reasonable conjectural series. Onthe list there are 178 reasonable series for $\pi^{-1}$, four series for$\pi^2$, two series for $\pi^{-2}$, four series for $\pi^4$, two series for$\pi^5$, three series for $\pi^6$, seven series for $\zeta(3)$, one series for$\pi\zeta(3)$, two series for $\pi^2\zeta(3)$, one series for $\zeta(3)^2$,three series involving both $\zeta(3)^2$ and $\pi^6$, one series for$\zeta(5)$, three series involving both $\zeta(5)$ and $\zeta(2)\zeta(3)$, twoseries involving both $\pi\zeta(5)$ and $\pi^3\zeta(3)$, three series involving$\zeta(7)$, three series for $K=L(2,(\frac{\cdot}{3}))$, one series for theCatalan constant $G$, two series for $\pi G$, one series involving both$\pi^3G$ and $\pi^2\zeta(3)$, two series for $\pi K$, two series involving$L=L(4,(\frac{\cdot}3))$, three series involving$\beta(4)=L(4,(\frac{-4}{\cdot}))$, and four series for $\pi^2\log a$ with$a=2,3,(\sqrt5+1)/2$. The code of a conjectural series is underlined if andonly if a complete proof of the identity is available.

List of conjectural series for powers of $\pi$ and other constants