Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The sum of the r'th roots of first n natural numbers and new formula for
  factorial   Using the simple properties of Riemman integrable functions, Ramanujan's
formula for sum of the square roots of first n natural numbers has been
generalized to include r'th roots where r is any real number greater than 1.As
an application we derive formula that gives factorial of positive integer $n$
similar to Stirling's formula.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas