Publication: Windings of prime geodesics
Date
Date
Date
2022
Working Paper
Abstract
Abstract
Abstract
The winding of a closed oriented geodesic around the cusp of the modular orbifold is computed by the Rademacher symbol, a classical function from the theory of modular forms. For a general cusped hyperbolic orbifold, we have a procedure to associate to each cusp a Rademacher symbol. In this paper we construct winding numbers related to these Rademacher symbols. In cases where the two functions coincide, access to the spectral theory of automorphic forms yields statistical results on the distribution of closed (primitive) oriented geod
Metrics
Downloads
52 since deposited on 2023-02-17
Acq. date: 2025-11-12
Views
51 since deposited on 2023-02-17
Acq. date: 2025-11-12
Citations
Additional indexing
Creators (Authors)
Series Name
Series Name
Series Name
ArXiv.org
Item Type
Item Type
Item Type
Working Paper
In collections
Keywords
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS); Geometric Topology (math.GT)
MSC classes: 11F12, 11F23, 11F72, 37D40, 55M25
Language
Language
Language
English
Publication date
Publication date
Publication date
2022
Date available
Date available
Date available
2023-02-17
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
2331-8422
OA Status
OA Status
OA Status
Green
Free Access at
Free Access at
Free Access at
DOI
Publisher DOI
Metrics
Downloads
52 since deposited on 2023-02-17
Acq. date: 2025-11-12
Views
51 since deposited on 2023-02-17
Acq. date: 2025-11-12
Citations
Green Open Access
Loading...
