The quintuple product identity and shifted partition functions
β Scribed by Krishnaswami Alladi
- Book ID
- 107989165
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 465 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In (Bessenrodt, 1991) a combinatorial proof of a refinement of the Andrews-Olsson partition identity (Andrews and Olsson, 1991) was given. In this article we explore the methods of (Bessenrodt, 1991) further to deal also with partitions where repetitions are allowed and where the restrictions on the
It is shown that for every primitive recursive sequence [m i ] i=0 of positive integers, there is an ackermannic sequence [n i ] i=0 of positive integers such that for every partition of the product > i=0 n i into two Borel pieces, there are sets H i n i with |H i |=m i such that the subproduct > i=