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

Let $\Pi$ be a cuspidal automorphic representation of$\mathrm{GL}_{2n}(\mathbb{A_Q})$ and let $p$ be an odd prime at which $\Pi$ isunramified. In a recent work, Barrera, Dimitrov and Williams constructedpossibly unbounded $p$-adic $L$-functions interpolating complex $L$-values of$\Pi$ in the non-ordinary case. Under certain assumptions, we construct two\textit{bounded} $p$-adic $L$-functions for $\Pi$, thus extending an earlierwork of Rockwood by relaxing the Pollack condition. Using Langlandslocal-global compatibility, we define signed Selmer groups over the $p$-adiccyclotomic extension of $\mathbb{Q}$ attached to the $p$-adic Galoisrepresentation of $\Pi$ and formulate Iwasawa main conjectures in the spirit ofKobayashi's plus and minus main conjectures for $p$-supersingular ellipticcurves.

Iwasawa theory of automorphic representations of $\mathrm{GL}_{2n}$ at non-ordinary primes