Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New permanent approximation inequalities via identities   The aim of this paper is to present new upper bounds for the distance between
a properly normalized permanent of a rectangular complex matrix and the product
of the arithmetic means of the entries of its columns. It turns out that the
bounds improve on those from earlier work. Our proofs are based on some new
identities for the above-mentioned differences and also for related expressions
for matrices over a rational associative commutative unital algebra. Some of
our identities are generalizations of results in Dougall (Proceedings of the
Edinburgh Mathematical Society, 24, 61-77, 1905). Second order results are also
included.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an