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 hay060Ämneskategorier (SSIF 2011)
Sannolikhetsteori och statistik
Signalbehandling
Matematisk analys
DOI
10.1093/qmath/hay060