The second moment of symmetric square L-functions over Gaussian integers

Abstract

We prove a new upper bound on the second moment of Maass form symmetric square L-functions defined over Gaussian integers. Combining this estimate with the recent result of Balog-Biro-Cherubini-Laaksonen, we improve the error term in the prime geodesic theorem for the Picard manifold.

References in corpus (1)

• On the mean value of symmetric square L-functions

Cited by in corpus (1)

• On Kuznetsov-Bykovskii's formula of counting prime geodesics