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Sums of Kloosterman sums in the prime geodesic theorem

Published 12 Mar 2018 in math.NT and math.SP | (1803.04206v2)

Abstract: We develop a new method for studying sums of Kloosterman sums related to the spectral exponential sum. As a corollary, we obtain a new proof of the estimate of Soundararajan and Young for the error term in the prime geodesic theorem.

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