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Sums of Kloosterman sums in the prime geodesic theorem
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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.
Oxford University Press (OUP)
Title: Sums of Kloosterman sums in the prime geodesic theorem
Description:
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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