A density theorem for Sp(4)$\operatorname{Sp}(4)$
نویسندگان
چکیده
Strong bounds are obtained for the number of automorphic forms group Γ 0 ( q ) ⊆ Sp 4 , Z $\Gamma _0(q) \subseteq \operatorname{Sp}(4,\mathbb {Z})$ violating Ramanujan conjecture at any given unramified place, which go beyond Sarnak's density hypothesis. The proof is based on a relative trace formula Kuznetsov type, and explicit evaluation certain Kloosterman sums $\operatorname{Sp}(4)$ .
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2022
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12553