{"paper":{"title":"On the nonvanishing hypothesis for Rankin-Selberg convolutions for $\\mathrm{GL}_n(\\mathbb C)\\times \\mathrm{GL}_n(\\mathbb C)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Chao-Ping Dong, Huajian Xue","submitted_at":"2016-12-29T11:49:36Z","abstract_excerpt":"Inspired by Sun's breakthrough in establishing the nonvanishing hypothesis for Rankin-Selberg convolutions for the groups $\\mathrm{GL}_n (\\mathbb R)\\times \\mathrm{GL}_{n-1} (\\mathbb R)$ and $\\mathrm{GL}_n (\\mathbb C)\\times \\mathrm{GL}_{n-1} (\\mathbb C)$, we confirm it for $\\mathrm{GL}_{n} (\\mathbb C)\\times \\mathrm{GL}_n (\\mathbb C)$ at the central critical point."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09107","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"}