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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2022
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-022-01273-5
- Publisher site
- See Article on Publisher Site
Abstract
The purpose of the research is to prove that some of the latest and currently most advanced results on prime geodesic theorems can be significantly improved when considered for a certain class of locally symmetric spaces of real rank one. Our special attention will be focused on the reduction of remainder terms in the Gallagherian-type theorem for a family of compact, even-dimensional spaces. The main tool to enable the process will be newly derived explicit formulas for counting functions of appropriate degree.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jul 1, 2022
Keywords: Prime geodesic theorem; Counting functions; Selberg and Ruelle zeta functions; Riemannian manifolds; 11M36; 11F72; 58J50