8 search results - page 1 / 2 » Partition Identities and a Theorem of Zagier |
JCT
2002
13 years 4 months ago
2002
In partition theory and q-series, one often seeks identities between series and infinite products. Using a recent result of Zagier, we obtain such identities for every positive int...
COMBINATORICS
2000
13 years 4 months ago
2000
Recently Zagier proved a remarkable q-series identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number...
DM
2006
13 years 5 months ago
2006
A general theorem for providing a class of combinatorial identities where the sum is over all the partitions of a positive integer is proven. Five examples as the applications of ...
JCT
2008
13 years 4 months ago
2008
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
COMBINATORICS
2004
13 years 4 months ago
2004
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...