### Abstract

Statistical mechanical systems with an exponential density of states are considered. The arithmetic analog of parafermions of arbitrary order is constructed and a formula for boson-parafermion equivalence is obtained using properties of the Riemann zeta function. Interactions (nontrivial mixing) among arithmetic gases using the concept of twisted convolutions are also introduced. Examples of exactly solvable models are discussed in detail.

Original language | English (US) |
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Pages (from-to) | 1881-1884 |

Number of pages | 4 |

Journal | Journal of Mathematical Physics |

Volume | 32 |

Issue number | 7 |

DOIs | |

State | Published - Jan 1 1991 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Bakas, I., & Bowick, M. J. (1991). Curiosities of arithmetic gases.

*Journal of Mathematical Physics*,*32*(7), 1881-1884. https://doi.org/10.1063/1.529511