Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple computation of $\zeta(2k)$ by using Bernoulli polynomials and a
  telescoping series   We present a new proof of Euler's formulas for $\zeta(2k)$, where $k =
1,2,3,...$, which uses only the defining properties of the Bernoulli
polynomials, obtaining the value of $\zeta(2k)$ by summing a telescoping
series. Only basic techniques from Calculus are needed to carry out the
computation. The method also applies to $\zeta(2k+1)$ and the harmonic numbers,
yielding integral formulas for these.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph