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arxiv: 1701.02115 · v1 · pith:7DJNZQUCnew · submitted 2017-01-09 · 🧮 math.NT

Prime geodesic theorem of Gallagher type

classification 🧮 math.NT
keywords fracgeodesicprimetheoremcompacterrorexponentfinite
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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.

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