Geodesic
New Harmonic Number Identities with Applications
Séminaire lotharingien de combinatoire, Tome 63 (2010)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We determine the explicit formulas for the sum of products of homogeneous multip le harmonic sums $ \sum_{k=1}^n \prod_{j=1}^r H_k(\{1\}^{\lambda_j})$ when $ \sum_{j=1}^r \lambda_j\leq 5$. We apply these identities to the study of two congruences modulo a power of a pr ime. 

@article{SLC_2010_63_a6,
     author = {Roberto Tauraso},
     title = {New {Harmonic} {Number} {Identities} with {Applications}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {63},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/SLC_2010_63_a6/}
}
TY  - JOUR
AU  - Roberto Tauraso
TI  - New Harmonic Number Identities with Applications
JO  - Séminaire lotharingien de combinatoire
PY  - 2010
VL  - 63
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2010_63_a6/
ID  - SLC_2010_63_a6
ER  - 
%0 Journal Article
%A Roberto Tauraso
%T New Harmonic Number Identities with Applications
%J Séminaire lotharingien de combinatoire
%D 2010
%V 63
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2010_63_a6/
%F SLC_2010_63_a6
Roberto Tauraso. New Harmonic Number Identities with Applications. Séminaire lotharingien de combinatoire, Tome 63 (2010). http://geodesic.mathdoc.fr/item/SLC_2010_63_a6/