### Abstract

Let A be an elliptic pseudodifferential operator of positive order on a compact closed manifold, and let T be a pseudodifferential operator of negative order such that T^{m} is of trace class. We compute log det(A(I + T )) − log det A − log det_{m} (I + T ) where first two determinants are zeta function regularized, and the last one is a regularized Fredholm determinant.

Original language | English (US) |
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Title of host publication | Contemporary Mathematics |

Publisher | American Mathematical Society |

Pages | 123-128 |

Number of pages | 6 |

DOIs | |

State | Published - Jan 1 2019 |

### Publication series

Name | Contemporary Mathematics |
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Volume | 734 |

ISSN (Print) | 0271-4132 |

ISSN (Electronic) | 1098-3627 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Friedlander, L. (2019). On multiplicative properties of determinants. In

*Contemporary Mathematics*(pp. 123-128). (Contemporary Mathematics; Vol. 734). American Mathematical Society. https://doi.org/10.1090/conm/734/14767