{"paper":{"title":"A Product of Tensor Product $L$-functions of Quasi-split Classical Groups of Hermitian Type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.NT","authors_text":"Dihua Jiang, Lei Zhang","submitted_at":"2012-12-29T01:12:06Z","abstract_excerpt":"A family of global integrals representing a product of tensor product (partial) $L$-functions: $ L^S(s,\\pi\\times\\tau_1)L^S(s,\\pi\\times\\tau_2)... L^S(s,\\pi\\times\\tau_r) $ are established in this paper, where $\\pi$ is an irreducible cuspidal automorphic representation of a quasi-split classical group of Hermitian type and $\\tau_1,...,\\tau_r$ are irreducible unitary cuspidal automorphic representations of $\\GL_{a_1},...,\\GL_{a_r}$, respectively. When $r=1$ and the classical group is an orthogonal group, this was studied by Ginzburg, Piatetski-Shapiro and Rallis in 1997 and when $\\pi$ is generic a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6580","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"}