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An asymptotic formula for a cubic moment of $GL_2$ $L$-functions

Mujdei, Catinca
arXiv (OAI Expanded) · Papers
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number-theory
We obtain an asymptotic formula for a cubic moment of self-dual $GL_2$ $L$-functions studied by Petrow and Young, with a small extra averaging over characters. Our asymptotic consists of the main term conjectured by Conrey--Farmer--Keating--Rubinstein--Snaith and a power-saving error term whose stre
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