Second order average estimates on local data of cusp forms
نویسندگان
چکیده
We specify sufficient conditions for the square modulus of the local parameters of a family of GLn cusp forms to be bounded on average. These conditions are global in nature and are satisfied for n ≤ 4. As an application, we show that Rankin-Selberg L-functions on GLn1 × GLn2 , for ni ≤ 4, satisfy the standard convexity bound.
منابع مشابه
Second Order Average Estimates on Local Data of Cusp Forms1
We specify sufficient conditions for the square modulus of the local parameters of a family of GLn cusp forms to be bounded on average. These conditions are global in nature and are satisfied for n ≤ 4. As an application, we show that Rankin-Selberg L-functions on GLn1 × GLn2 , for ni ≤ 4, satisfy the standard convexity bound.
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