Geodesic
A short proof of Carlitz's Bernoulli number identity
Journal of integer sequences, Tome 17 (2014) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For an identity related to Bernoulli numbers, stated by Carlitz, rediscovered and reproved by various researchers, an extremely short and direct proof is provided which uses a bivariate exponential function.
Classification : 11B68, 05A10, 11B65
Keywords: Bernoulli number, exponential generating function 
@article{JIS_2014__17_4_a4,
     author = {Prodinger, Helmut},
     title = {A short proof of {Carlitz's} {Bernoulli} number identity},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a4/}
}
TY  - JOUR
AU  - Prodinger, Helmut
TI  - A short proof of Carlitz's Bernoulli number identity
JO  - Journal of integer sequences
PY  - 2014
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a4/
LA  - en
ID  - JIS_2014__17_4_a4
ER  - 
%0 Journal Article
%A Prodinger, Helmut
%T A short proof of Carlitz's Bernoulli number identity
%J Journal of integer sequences
%D 2014
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a4/
%G en
%F JIS_2014__17_4_a4
Prodinger, Helmut. A short proof of Carlitz's Bernoulli number identity. Journal of integer sequences, Tome 17 (2014) no. 4. http://geodesic.mathdoc.fr/item/JIS_2014__17_4_a4/