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

For an odd prime $p$ and an unramified maximal torus $H $ of$\mathrm{GL}_{2/\mathbf{Q}_p}$, inspired by work of Loeffler-Skinner-Zerbes, weconstruct natural $H(\mathbf{Q}_p)$-stable lattices in spaces of functions on$\left(\mathrm{GL}_2\times H\right)(\mathbf{Q}_p)$. These local lattices giverise to canonical Hecke operators in local spherical Hecke algebras, that enjoycertain integrality properties away from $p$, with respect to equivariant mapsinto any smooth $\mathrm{GL}_2(\mathbf{Q}_p)$-representation. As a globalapplication, we obtain integral $\ell$-adic Hecke operators in global Heckealgebras, and certain integrality results on automorphic representationsattached to cuspidal Hecke eigenforms.

Integral structures in smooth $\mathrm{GL}_2(\mathbf{Q}_p)$-representations and zeta integrals