The Prime Geodesic Theorem in Arithmetic Progressions
Abstract We address the prime geodesic theorem in arithmetic progressions and resolve conjectures of Golovchanskiĭ–Smotrov (1999). In particular, we prove that the traces of closed geodesics on the modular surface do not equidistribute in the reduced residue classes of a given modulus.
Authors
- Gergely Harcos (ORCID: https://orcid.org/0000-0003-0642-4982)
- Ikuya Kaneko (ORCID: https://orcid.org/0000-0003-4518-1805)
- Dimitrios Chatzakos
Institutions
- California Institute of Technology (US)
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- University of Patras (GR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-09-12
- DOI
- https://doi.org/10.1093/imrn/rnae198
- Citations
- 1
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 1.27