Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Multiplicative Properties of Determinants   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.

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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph