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Lower bounds for moments of quadratic twisted self-dual $\textrm{GL}(3)$ central $L$-values

Published 1 Jan 2022 in math.NT | (2201.00120v2)

Abstract: In this paper, we prove the conjectured order lower bound for the $k$-th moment of central values of quadratic twisted self-dual $\textrm{GL}(3)$ $L$-functions for all $k\geq 1$, based on our recent work on the twisted first moment of central values in this family of $L$-functions.

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