Evaluations of some variant Euler sums
Journal of integer sequences, Tome 9 (2006) no. 2
In this note we present some elementary methods for the summation of certain Euler sums with terms involving $1 + 1/3 + 1/5 + \dots + 1/(2k-1)$.
Classification :
40C15, 40A25, 11M41, 11M06
Keywords: Euler sums, Riemann zeta function, closed forms
Keywords: Euler sums, Riemann zeta function, closed forms
@article{JIS_2006__9_2_a1,
author = {Chen, Hongwei},
title = {Evaluations of some variant {Euler} sums},
journal = {Journal of integer sequences},
year = {2006},
volume = {9},
number = {2},
zbl = {1101.11033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2006__9_2_a1/}
}
Chen, Hongwei. Evaluations of some variant Euler sums. Journal of integer sequences, Tome 9 (2006) no. 2. http://geodesic.mathdoc.fr/item/JIS_2006__9_2_a1/