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

Using a generalized Littlewood theorem concerning integrals of the logarithmof analytical functions, we have established a few equalities involvingintegrals of the logarithm of the Riemann Zeta-function and have rigorouslyproven that they are equivalent to the Riemann hypothesis. Separateconsideration for imaginary and real parts of these equalities, which dealcorrespondingly with the integrals of the logarithm of the module of theRiemann function and with the integrals of its argument is given. Preliminaryresults of the numerical research performed using these equalities to test theRiemann hypothesis are presented.

A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis