Sums of Kloosterman sums in the prime geodesic theorem
Artikel i vetenskaplig tidskrift, 2019

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.

Författare

Olga Balkanova

Chalmers, Matematiska vetenskaper, Algebra och geometri

Dmitry Frolenkov

National Research University Higher School of Economics

Russian Academy of Sciences

Quarterly Journal of Mathematics

0033-5606 (ISSN) 1464-3847 (eISSN)

Vol. 70 2 649-674 hay060

Ämneskategorier

Sannolikhetsteori och statistik

Signalbehandling

Matematisk analys

DOI

10.1093/qmath/hay060

Mer information

Senast uppdaterat

2019-11-07