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PreprintCC BY 4.0arXiv

On the prime geodesic theorem

  • Alberto Acosta Reche
Open at sourcePDFDOICite

Abstract

We improve the error term in the prime geodesic theorem for the modular group. More generally, our result applies to any congruence subgroup of any indefinite quaternion algebra over ℚ.

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Cite

BibTeXRIS
BibTeX
@misc{reche2026prime,
  title = {{On the prime geodesic theorem}},
  author = {Alberto Acosta Reche},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01998},
  eprint = {2610.01998},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01998},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the prime geodesic theorem
AU  - Alberto Acosta Reche
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.01998
UR  - https://arxiv.org/abs/2610.01998
AB  - We improve the error term in the prime geodesic theorem for the modular group. More generally, our result applies to any congruence subgroup of any indefinite quaternion algebra over ℚ.
ER  -