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Prime geodesic theorem for the modular surface

Published 6 Feb 2017 in math.NT | (1702.01699v5)

Abstract: 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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