$PGT$ on $PSL(2,\mathbb{Z})$. A short proof

Abstract

Taking the Iwaniec explicit formula as a starting point, we give a short proof of a more precise $\frac{2}{3}$ bound for the exponent in the error term of the Gallagher-type prime geodesic theorem for the modular surface.

References in corpus (3)

• The Prime Geodesic Theorem
• On Koyama's refinement of the prime geodesic theorem
• Prime geodesic theorem of Gallagher type