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The second moment of symmetric square L-functions over Gaussian integers
Proceedings of the Royal Society of Edinburgh Section A: Mathematics ( IF 1.3 ) Pub Date : 2021-01-12 , DOI: 10.1017/prm.2020.96
Olga Balkanova 1 , Dmitry Frolenkov 1
Affiliation  

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.

中文翻译:

高斯整数上对称平方 L 函数的二阶矩

我们证明了 Maass 形式对称平方的二阶矩的新上界大号-在高斯整数上定义的函数。将此估计与 Balog-Biro-Cherubini-Laaksonen 的最新结果相结合,我们改进了 Picard 流形的主要测地线定理中的误差项。
更新日期:2021-01-12
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