PAPER / ARXIV:2609.16181

Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds

Changlin Li , Zhi Qi

RESUMO

In this paper, we prove the mean Lindelöf hypothesis for the second moment of symmetric square $L$-functions and thereby obtain the (unconditional) error bound $O (x^{36/23+\varepsilon})$ in the prime geodesic theorem on Bianchi manifolds.

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