Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of the Multiplication Table Function   In this paper, considering the concept of Universal Multiplication Table, we
show that for every $n\geq 2$, the inequality: $$ M(n)=#\{ij|1\leq i,j\leq
n\}\geq\frac{n^2}{\mathfrak{N}(n^2)}, $$ holds true with: $$
\mathfrak{N}(n)=n^{\frac{\log 2}{\log\log n}(1+\frac{387}{200\log\log n})}. $$

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex