Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spectral interpretation for the zeros of the Riemann zeta function   Based on work of Alain Connes, I have constructed a spectral interpretation
for zeros of L-functions. Here we specialise this construction to the Riemann
zeta function. We construct an operator on a nuclear Frechet space whose
spectrum is the set of non-trivial zeros of zeta. We exhibit the explicit
formula for the zeros of the Riemann zeta function as a character formula.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga