Work

The Prime Geodesic Theorem in Arithmetic Progressions

Year: 2024

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae198

Authors: Dimitrios Chatzakos, Gergely Harcos, Ikuya Kaneko

Institutions: University of Patras, HUN-REN Alfréd Rényi Institute of Mathematics, California Institute of Technology

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: University of Patras, Masason Foundation, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, National Research, Development and Innovation Office

Award: G2531595585