Non-vanishing of symmetric square 𝐿-functions

Lau, Yuk-Kam

doi:10.1090/S0002-9939-02-06712-6

Non-vanishing of symmetric square $L$-functions
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Proc. Amer. Math. Soc. 130 (2002), 3133-3139 Request permission

Abstract:

Given a complex number $s$ with $0<\Re e s<1$, we study the existence of a cusp form of large even weight for the full modular group such that its associated symmetric square $L$-function $L(\operatorname {sym}^2f,s)$ does not vanish. This problem is also considered in other articles.

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