Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the maximal order of numbers in the "factorisatio numerorum" problem   Let m(n) be the number of ordered factorizations of n in factors larger than
1. We prove that for every eps>0 n^{rho} m(n) < exp[(log n)^{1/rho}/(loglog
n)^{1+eps}] holds for all integers n>n_0, while, for a constant c>0, n^{rho}
m(n) > exp[c(log n)^{1/\rho}/(loglog n)^{1/rho}] holds for infinitely many
positive integers n, where rho=1.72864... is the real solution to zeta(rho)=2.
We investigate also arithmetic properties of m(n) and the number of distinct
values of m(n).

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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph