{"paper":{"title":"On top Fourier coefficients of certain automorphic representations of GLn","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Baiying Liu, Bin Xu","submitted_at":"2018-12-07T18:47:32Z","abstract_excerpt":"In this paper, we study top Fourier coefficients of certain automorphic representations of $\\mathrm{GL}_n(\\mathbb{A})$. In particular, we prove a conjecture of Jiang on top Fourier coefficients of isobaric automorphic representations of $\\mathrm{GL}_n(\\mathbb{A})$ of form $$ \\Delta(\\tau_1, b_1) \\boxplus \\Delta(\\tau_2, b_2) \\boxplus \\cdots \\boxplus \\Delta(\\tau_r, b_r)\\,, $$ where $\\Delta(\\tau_i,b_i)$'s are Speh representations in the discrete spectrum of $\\mathrm{GL}_{a_ib_i}(\\mathbb{A})$ with $\\tau_i$'s being unitary cuspidal representations of $\\mathrm{GL}_{a_i}(\\mathbb{A})$, and $n = \\sum_{i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03157","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"}