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Special values of spectral zeta functions and combinatorics: Sturm-Liouville problems
- Source :
- European Journal of Combinatorics 2024
- Publication Year :
- 2023
-
Abstract
- In this paper, we apply the combinatorial results on counting permutations with fixed pinnacle and vale sets to evaluate the special values of the spectral zeta functions of Sturm-Liouville differential operators. As applications, we get a combinatorial formula for the special values of spectral zeta functions and give a new explicit formula for Bernoulli numbers.
Details
- Database :
- arXiv
- Journal :
- European Journal of Combinatorics 2024
- Publication Type :
- Report
- Accession number :
- edsarx.2303.10004
- Document Type :
- Working Paper