On a polynomial zeta function
Abstract
Description
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.
7 pages, 1 figure
7 pages, 1 figure