"Supersymmetry and the Möbius inversion function"

Donald Spector

(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."

1. Introduction

2. Gödel, Möbius, Witten

3. Infinite Sums and the Prime Number Theorem

4. The Möbius Inversion Formula

5. Conclusions


archive      tutorial      mystery      new      search      home      contact