Geodesic
Two congruences involving 4-cores
The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

The goal of this paper is to prove two new congruences involving 4–cores using elementary techniques; namely, if $a_4(n)$ denotes the number of 4–cores of $n$, then $a_4(9n+2)\equiv 0$ (mod 2) and $a_4(9n+8)\equiv 0$ (mod 4).
DOI : 10.37236/1268
Classification : 05A17, 11P83
Mots-clés : partitions, congruences, \(t\)-cores 
@article{10_37236_1268,
     author = {Michael Hirschhorn and James A. Sellers},
     title = {Two congruences involving 4-cores},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {2},
     doi = {10.37236/1268},
     zbl = {0857.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1268/}
}
TY  - JOUR
AU  - Michael Hirschhorn
AU  - James A. Sellers
TI  - Two congruences involving 4-cores
JO  - The electronic journal of combinatorics
PY  - 1996
VL  - 3
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1268/
DO  - 10.37236/1268
ID  - 10_37236_1268
ER  - 
%0 Journal Article
%A Michael Hirschhorn
%A James A. Sellers
%T Two congruences involving 4-cores
%J The electronic journal of combinatorics
%D 1996
%V 3
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/1268/
%R 10.37236/1268
%F 10_37236_1268
Michael Hirschhorn; James A. Sellers. Two congruences involving 4-cores. The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2. doi: 10.37236/1268

Cité par Sources :