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Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds

  • Changlin Li
  • Zhi Qi
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Abstract

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 (x36/23+ε) in the prime geodesic theorem on Bianchi manifolds.

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Cite

BibTeXRIS
BibTeX
@misc{li2026mean,
  title = {{Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds}},
  author = {Changlin Li and Zhi Qi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16181},
  eprint = {2609.16181},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16181},
}
RIS
TY  - UNPB
TI  - Mean Lindelöf Hypothesis and Prime Geodesic Theorem on Bianchi Manifolds
AU  - Changlin Li
AU  - Zhi Qi
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.16181
UR  - https://arxiv.org/abs/2609.16181
AB  - 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+ε) in the prime geodesic theorem on Bianchi manifolds.
ER  -