{"paper":{"title":"Int\\'egrales orbitales sur $GL(N,{\\Bbb F}_q((t)))$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Bertrand Lemaire","submitted_at":"2016-05-23T16:20:19Z","abstract_excerpt":"Let $F$ be a non--Archimedean local field of characteristic $\\geq 0$, and let $G=GL(N,F)$, $N\\geq 1$. An element $\\gamma\\in G$ is said to be quasi--regular if the centralizer of $\\gamma$ in $M(N,F)$ is a product of field extensions of $F$. Let $G_{\\rm qr}$ be the set of quasi--regular elements of $G$. For $\\gamma\\in G_{\\rm qr}$, we denote by $\\mathcal{O}_\\gamma$ the ordinary orbital integral on $G$ associated with $\\gamma$. In this paper, we replace the Weyl discriminant $\\vert D_G\\vert$ by a normalization factor $\\eta_G: G_{\\rm qr}\\rightarrow {\\Bbb R}_{>0}$ which allows us to obtain the same "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.07076","kind":"arxiv","version":3},"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"}