Prime geodesic theorem of Gallagher type

Abstract

We reduce the exponent in the error term of the prime geodesic theorem for compact Riemann surfaces from $\frac{3}{4}$ to $\frac{7}{10}$ outside a set of finite logarithmic measure.

References in corpus (1)

• On Koyama's refinement of the prime geodesic theorem

Cited by in corpus (1)

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