Sums of Kloosterman sums in the prime geodesic theorem

Olga Balkanova; Dmitry Frolenkov

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arXiv · 1803.04206

Sums of Kloosterman sums in the prime geodesic theorem

Olga Balkanova·Dmitry Frolenkov

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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.

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Olga Balkanova, Dmitry Frolenkov. 2018-03-12. Sums of Kloosterman sums in the prime geodesic theorem. https://arxiv.org/abs/1803.04206

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