Multiple Sums and Partition Identities

Roudy El Haddad

Sums of the form ${\sum }_{q\le N_1<\cdots <N_m\le n}{a}_{(m);N_m}\cdots a_{(2);N_2}{a}_{(1);N_1}$ date back to the sixteen century when Viète illustrated that the relation linki…