Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the sum of digits of the factorial   Let b > 1 be an integer and denote by s_b(m) the sum of the digits of the
positive integer m when is written in base b. We prove that s_b(n!) > C_b log n
log log log n for each integer n > e, where C_b is a positive constant
depending only on b. This improves of a factor log log log n a previous lower
bound for s_b(n!) given by Luca. We prove also the same inequality but with n!
replaced by the least common multiple of 1,2,...,n.

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The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex