Fractional calculus, Riemann zeta function and Euler products
Year: 2024
Type: article
Abstract: In this paper, we deal with the link between fractional calculus, Riemann zeta functions and prime numbers. In particular, we compute the logarithmic fractional derivative of the Riemann zeta function. In addition, we study the possibility to express ζ (α) ( s ) as an Euler product. This leads us to generalize the Euler’s product formula for Dirichlet series where the hypothesis of multiplicative function is replaced by a homomorphism.
Source: IFAC-PapersOnLine
Author: E. Guariglia
Institutions: Wenzhou-Kean University, Kean University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4401948136