Partitions in which we use d(a) copies of each part a are studied. The results obtained here include various combinatorial identities, a generating function, a recurrence formula, an asymptotic formula and a graphical representation for these new partitions. Some results involving restricted partitions with ″d(a) copies of a″ are also given.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics