{"paper":{"title":"On the Non-Vanishing of Poincar\\'{e} Series on the Metaplectic Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.RT","authors_text":"Sonja \\v{Z}unar","submitted_at":"2017-11-17T10:18:15Z","abstract_excerpt":"In this paper, we study the $ K $-finite matrix coefficients of integrable representations of the metaplectic cover of $ \\mathrm{SL}_2(\\mathbb R) $ and give a result on the non-vanishing of their Poincar\\'{e} series. We do this by adapting the techniques developed for $ \\mathrm{SL}_2(\\mathbb R) $ by Mui\\'{c} to the case of the metaplectic group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06481","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}