{"paper":{"title":"Exceptional poles of local $L$-functions for $GSp(4)$ with respect to split Bessel models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Rainer Weissauer","submitted_at":"2017-12-18T12:37:46Z","abstract_excerpt":"Piateskii-Shapiro defined local $L$-factors $L^{PS}(s,\\Pi,\\Lambda)$ attached to irreducible admissible representations $\\Pi$ of the group $GSp(4)$ over local fields and Bessel models of $\\Pi$ attached to Bessel data $\\Lambda$. These local $L$-factors decompose into a product $L^{PS}(s,\\Pi,\\Lambda)= L^{PS}_{ex}(s,\\Pi,\\Lambda) L^{PS}_{reg}(s,\\Pi,\\Lambda)$ of an exceptional and a regular $L$-factor. In this paper we compute the exceptional factors $L^{PS}_{ex}(s,\\Pi,\\Lambda)$ for split Bessel models of $\\Pi$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06370","kind":"arxiv","version":2},"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"}