The Prime Geodesic Theorem in Arithmetic Progressions

Abstract

We address the prime geodesic theorem in arithmetic progressions, and resolve conjectures of Golovchanski\uı-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.

11 pages, LaTeX2e

References in corpus (3)

• The Prime Geodesic Theorem and Bounds for Character Sums
• The Prime Geodesic Theorem for the Picard Orbifold
• Local square mean in the hyperbolic circle problem