Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On A Rapidly Converging Series For The Riemann Zeta Function   To evaluate Riemann's zeta function is important for many investigations
related to the area of number theory, and to have quickly converging series at
hand in particular. We investigate a class of summation formulae and find, as a
special case, a new proof of a rapidly converging series for the Riemann zeta
function. The series converges in the entire complex plane, its rate of
convergence being significantly faster than comparable representations, and so
is a useful basis for evaluation algorithms. The evaluation of corresponding
coefficients is not problematic, and precise convergence rates are elaborated
in detail. The globally converging series obtained allow to reduce Riemann's
hypothesis to similar properties on polynomials. And interestingly, Laguerre's
polynomials form a kind of leitmotif through all sections.

35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex