"Supersymmetry and the Möbius inversion function"
(from Communications in Mathematical Physics 127 (1990) 239-252)
Abstract. "We show that the Möbius inversion function of number theory
can be interpreted as the operator (-1)F in quantum field theory.
Consequently, we are able to provide physical interpretations for various
properties of the Möbius inversion function. These include a physical
understanding of the Möbius Inversion Formula and of a result that is
equivalent to the prime number theorem. Supersymmetry and the Witten
index play a central role in these constructions."
2. Gödel, Möbius, Witten
3. Infinite Sums and the Prime Number Theorem
4. The Möbius Inversion Formula