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math.NT2017
The eighth moment of the family of -automorphic -functions
Vorrapan Chandee, Xiannan Li
We prove a Lindelöf on average bound for the eighth moment of a family of -functions attached to automorphic forms on , the first time this has been accomplished. Previou…
math.NT2017★ 10 cited
The sixth moment of automorphic -functions
Vorrapan Chandee, Xiannan Li
In this paper, we consider the -functions where is an eigenform for the congruence subgroup . We prove an asymptotic formula for the sixth moment of this f…