Beurling Zeta Functions, Generalised Primes, and Fractal Membranes

T. W. Hilberdink, M. L. Lapidus

We study generalised prime systems $\mathcal{P}$ $(1<p_1\le p_2\le ...,$ with $p_j\in \mathbb{R}$ tending to infinity) and the associated Beurling zeta function $ζ_{\mathcal{P}}(s) =\prod_…