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8. 11. 2016.
On the Prime Geodesic Theorem for Non-Compact Riemann Surfaces
We use B. Randol’s method to improve the error term in the prime geodesic theorem for a noncompact Riemann surface having at least one cusp. The case considered is a general one, corresponding to a Fuchsian group of the first kind and a multiplier system with a weight on it.