Abstract
Theorems in the theory of partitions are closely related to basic hypergeometric series. Some identities arising in basic hypergeometric series can be interpreted in the theory of partitions using F-partitions. In this paper, Ramanujan's 1ψ1 summation and the q-Gauss summation are established combinatorially.
Original language | English (US) |
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Pages (from-to) | 63-77 |
Number of pages | 15 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 105 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2004 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics