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arxiv: 1702.01699 · v5 · pith:45Z7H6WWnew · submitted 2017-02-06 · 🧮 math.NT

Prime geodesic theorem for the modular surface

classification 🧮 math.NT
keywords geodesicmodularprimesurfacetheoremerrorexponentfinite
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Under the generalized Lindel\"{o}f hypothesis, the exponent in the error term of the prime geodesic theorem for the modular surface is reduced to $\frac{5}{8}+\varepsilon $ outside a set of finite logarithmic measure.

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