Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On connection between values of Riemann zeta function at integers and
  generalized harmonic numbers   Using Euler transformation of series we relate values of Hurwitz zeta
function at integer and rational values of arguments to certain rapidly
converging series where some generalized harmonic numbers appear. The form of
these generalized harmonic numbers carries information about the values of the
arguments of Hurwitz function. In particular we prove: $\forall k\in
\mathbb{N}:$ $\zeta (k,1)\allowbreak =\allowbreak \frac{2^{k-1}}{2^{k-1}-1}%
\sum_{n=1}^{\infty }\frac{H_{n}^{(k-1)}}{n2^{n}},$ where $H_{n}^{(k)}$ are
defined below generalized harmonic numbers. Further we find generating function
of the numbers $\hat{\zeta}(k)=\sum_{j=1}^{\infty }(-1)^{j-1}/j^{k}. $

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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ