Year: 2009
Type: preprint
Abstract: We introduce a polynomial zeta function $ζ^{(p)}_{P_n}$, related to certain problems of mathematical physics, and compute its value and the value of its first derivative at the origin $s=0$, by means of a very simple technique. As an application, we compute the determinant of the Dirac operator on quaternionic vector spaces.
Source: arXiv (Cornell University)
Author: Cacciatori, Sergio L.
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1661963021