| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655517 | Journal of Combinatorial Theory, Series A | 2013 | 8 Pages |
Abstract
Two new expansions for partial sums of Gaussʼ triangular and square numbers series are given. As a consequence, we derive a family of inequalities for the overpartition function and for the partition function pod(n) counting the partitions of n with distinct odd parts. Some further inequalities for variations of partition function are proposed as conjectures.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
