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 sharpen the bounds of J. Bourgain, A. Gamburd and P. Sarnak (2016) on thepossible number of nodes outside the "giant component" and on the size ofindividual connected components in the suitably defined functional graph ofMarkoff triples modulo $p$. This is a step towards the conjecture that thereare no such nodes at all.

On the new bound for the number of solutions of polynomial equations in subgroups and the structure of graphs of Markoff triples