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 $F$ be a non-archimedean local field of characteristic not equal to 2. Inthis paper, we prove the local converse theorem for quasi-split $\O_{2n}(F)$and $\SO_{2n}(F)$, via the description of the local theta correspondencebetween $\O_{2n}(F)$ and $\Sp_{2n}(F)$. More precisely, as a main step, weexplicitly describe the precise behavior of the $\gamma$-factors under thecorrespondence. Furthermore, we apply our results to prove the weak rigiditytheorems for irreducible generic cuspidal automorphic representations of$\O_{2n}(\A)$ and $\SO_{2n}(\mathbb{A})$, respectively, where $\A$ is a ring ofadele of a global number field $L$.

The local converse theorem for quasi-split $O_{2n}$ and $SO_{2n}$