Sums of Kloosterman sums in the prime geodesic theorem-Reference-Cited by-同舟云学术

Sums of Kloosterman sums in the prime geodesic theorem

Published:2018-11-21 Issue:2 Volume:70 Page:649-674
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Balkanova Olga¹,Frolenkov Dmitry²

Affiliation:

1. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Chalmers tvärgata 3, Gothenburg, Sweden

2. National Research University Higher School of Economics, Moscow, Russia and Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St., Moscow, Russia

Abstract

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.

Funder

Benelux Association for Stable Isotope Scientists

Russian Academy of Sciences

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/70/2/649/28937473/hay060.pdf

Reference16 articles.

1. Prime geodesic theorem;Cai;J. Theor. Nombres Bordeaux,2002

2. The cubic moment of central values of automorphic L-functions;Conrey;Ann. Math. (2),2000

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