Seminario del 2005
Febbraio
15
2005
prof. Wenchang Chu (Università di Lecce)
Seminario di algebra e geometria
ABSTRACT<br>
The basic facts about classical partitions, their
generating function as well as Ferrers diagram representation will
first be reviewed. Then we will discuss the celebrated Ramanujan
congruences on the partition function: <br>
p(5n+4)=0 (mod 5) <br>
p(7n+5)=0 (mod 7) <br>
p(11n+6)=0(mod 11). <br>
The new developments of the demonstrations of these three Ramanujan
congruences will also be briefly schetched.<br>