Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational approximants for the Euler-Gompertz constant   We obtain two sequences of rational numbers which converge to the
Euler-Gompertz constant. Denote by <f(x)> the integral of f(x)e^{-x} from 0 to
infinity. Recall that the Euler-Gompertz constant \delta is <ln(x+1)>.
  Main idea. Let P_n(x) be a polynomial with integer coefficients. It is easy
to prove that <P_n(x)ln(x+1)>=a_n+<ln(x+1)>b_n$ for some integers a_n, b_n.
Hence if <P_n(x)ln(x+1)>/b_n converges to zero, a_n/b_n converges to - \delta .
  Main Theorem. Let u be positive real. There exists polynomials P_n(x)(they
are explicitly given in the paper) such that <P_n(x)ln(xu+1)> tends to u as n
tends to infinity.
  Proof of Main Theorem is elementary.

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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
16
The categories of this paper are: stat