On Kuznetsov-Bykovskii's formula of counting prime geodesics
Publisher
DOI
10.1007/s00209-021-02808-5
Journal
MATHEMATISCHE ZEITSCHRIFT
ISSN
0025-5874
Metadata
Show full item recordAbstract
We generalize a formula on the counting of prime geodesics, due to Kuznetsov–Bykovskii, used in the work of Soundararajan–Young on the prime geodesic theorem. The method works over any number field and for any congruence subgroup. We give explicit computation in the cases of principal and Hecke subgroups.
Authors
Cherubini, G; Wu, H; Zabradi, GCollections
- Mathematics [1472]