On a polynomial zeta function

Details On a polynomial zeta function On a polynomial zeta function

2009-02-18

arxiv.org/abs/0902.3190v1

Physics

Mathematical Physics

7 pages, 1 figure

Scientific paper

We introduce a polynomial zeta function $\zeta^{(p)}_{P_n}$, 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.

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