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- W1998043969 abstract "Let $q$ be a large prime and $chi$ the quadratic character modulo $q$. Let $phi$ be a self-dual cuspidal Hecke eigenform for ${rm SL}(3, Bbb{Z})$, and $f$ a Hecke-Maa{ss} cusp form for $Gamma_0(q) subseteq {rm SL}_2(Bbb{Z})$. We consider the twisted $L$-functions $L(s, phi times f times chi)$ and $L(s, phi times chi)$ on ${rm GL}(3)times {rm GL}(2)$ and ${rm GL}(3)$ with conductors $q^6$ and $q^3$, respectively. We prove the subconvexity bounds $$ L(1/2, phi times f times chi) ll_{phi, f, varepsilon} q^{5/4+varepsilon},quad L(1/2+it, phi times chi) ll_{phi, t, varepsilon} q^{5/8+varepsilon} $$ for any $varepsilon > 0$." @default.
- W1998043969 created "2016-06-24" @default.
- W1998043969 creator A5048865416 @default.
- W1998043969 date "2012-01-01" @default.
- W1998043969 modified "2023-10-02" @default.
- W1998043969 title "Subconvexity for twisted <i>L</i>-functions on GL(3)" @default.
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- W1998043969 doi "https://doi.org/10.1353/ajm.2012.0032" @default.
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