Fourier Series and Recurrence Relations for Zeta Functions
Abstract
This article explores the connection between Fourier series and various zeta functions, including the Riemann zeta function and its generalizations. Specifically, we derive recurrence formulas for even and odd values of zeta functions using Fourier expansions, extending these results to the Hurwitz zeta function.
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Earthline Journal of Mathematical Sciences
- Pages
- 125–125
- Publication date
- 6 January 2026