{"paper":{"title":"Subconvexity for $GL(3)\\times GL(2)$ $L$-functions in $t$-aspect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ritabrata Munshi","submitted_at":"2018-10-01T06:01:12Z","abstract_excerpt":"Let $\\pi$ be a Hecke-Maass cusp form for $SL(3,\\mathbb Z)$ and $f$ be a holomorphic (or Maass) Hecke form for $SL(2,\\mathbb{Z})$. In this paper we prove the following subconvex bound $$ L\\left(\\tfrac{1}{2}+it,\\pi\\times f\\right)\\ll_{\\pi,f,\\varepsilon} (1+|t|)^{\\frac{3}{2}-\\frac{1}{42}+\\varepsilon}. $$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00539","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"}