Combinatorial sums and series for the Riemann Hurwitz function II

PANZONE PABLO A.

Actas del V Congreso Monteiro

X

Lugar: Bahia Blanca; Año: 1999 p. 109 - 125

The author employs a type of partial fraction expansion to derive representations of Euler’s constantand certain values of (2k +1) as infinite series involving rational functions of the summationvariable in the summands. One of the simpler examples is given by(3) =516X1n=11−6n+4n2 +24n3􀀀4n2nn3(2n−1)3 .