Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple error bounds for the multivariate Laplace approximation under
  weak local assumptions   The paper provides new upper and lower bounds for the multivariate Laplace
approximation under weak local assumptions. Their range of validity is also
given. An application to an integral arising in the extension of the Dixon's
identity is presented. The paper both generalizes and complements recent
results by Inglot and Majerski and removes their superfluous assumption on
vanishing of the third order partial derivatives of the exponent function.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an