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 prove new congruences between special values of Rankin-Selberg$L$-functions for $\mathrm{GL}(n+1)\times\mathrm{GL}(n)$ over arbitrary numberfields. This allows us to control the behavior of $p$-adic $L$-functions underTate twists and to prove the existence of non-abelian $p$-adic $L$-functionsfor Hida families on $\mathrm{GL}(n+1)\times\mathrm{GL}(n)$. As an application,we prove strong non-vanishing results for central $L$-values: We givesufficient local conditions for twisted central Rankin-Selberg $L$-values to begenerically non-zero.

Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values