{"paper":{"title":"Artin representations for $GL_n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Henry H. Kim, Takuya Yamauchi","submitted_at":"2014-03-21T18:25:11Z","abstract_excerpt":"Let $\\pi$ be a cuspidal automorphic representation of $GL_n(\\mathbb{A}_\\mathbb{Q})$ which satisfies certain reasonable assumptions such as integrality of Hecke polynomials, the existence of mod $\\ell$ Galois representations attached to $\\pi$. Under Langlands functoriality of exterior $m$-th power $\\wedge^m(\\pi)$, $m=2,...,[\\frac n2]$, we will construct a unique Artin representation associated to $\\pi$. As a corollary, we obtain that such a cuspidal representation of $GL_n(\\mathbb{A}_\\mathbb{Q})$ satisfies the Ramanujan conjecture. We also revisit our previous work on Artin representations asso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5535","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"}