{"paper":{"title":"On the refined Gan-Gross-Prasad conjecture for cusp forms of GSp(4)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jun Wen","submitted_at":"2015-12-31T06:05:22Z","abstract_excerpt":"We prove a conjectural formula relating the Bessel period of certain automorphic forms on $\\mathrm{GSp}_4$ to a central $L$-value. This formula is proposed by Liu \\cite{liu} as the refined Gan-Gross-Prasad conjecture for the groups $(\\SO(5), \\SO(2))$. The conjecture has been previously proved for certain automorphic forms on $\\mathrm{GSp_4}$ from lifts. In this paper, we extend the formula to Siegel modular forms of $\\Sp_4(\\bZ)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09222","kind":"arxiv","version":4},"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"}