Subconvexity for Twisted L-functions on Gl(3)
نویسنده
چکیده
Let q be a large prime and χ the quadratic character modulo q. Let φ be a self-dual cuspidal Hecke eigenform for SL(3,Z), and f a Hecke-Maaß cusp form for Γ0(q) ⊆ SL2(Z). We consider the twisted L-functions L(s, φ × f × χ) and L(s, φ × χ) on GL(3) × GL(2) and GL(3) with conductors q6 and q3, respectively. We prove the subconvexity bounds L(1/2, φ× f × χ) φ,f,ε q, L(1/2 + it, φ× χ) φ,t,ε q for any ε > 0.
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