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arXiv · 1701.01642

On Koyama's refinement of the prime geodesic theorem

Muharem Avdispahić
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Abstract

We give a new proof of the best presently known error term in the prime geodesic theorem for compact Riemann surfaces, without the assumption of excluding a set of finite logarithmic measure. Stronger implications of the Gallagher-Koyama approach are derived yielding to a further reduction of the error term outside a set of finite logarithmic measure.

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Muharem Avdispahić. 2017-01-06. On Koyama's refinement of the prime geodesic theorem. https://doi.org/10.3792/pjaa.94.21

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