A recursive formula for even order harmonic series
This paper utilizes Fourier series expansion of perodic functions to obtain the infinite sums of even order harmonic series \(\sum^{\infty}_{n-1}n^{-2K}\), \(K=1,2,..\). and the process does not require the calculation of Bernoulli numbers. Infinite sums of a few even order harmonic series, which are calculated using the recursive formula derived in this paper, are tabulated for easy reference.
scientific article; zbMATH DE number 4034957