Abstract
In 1948 D.H.Lehmer published a brief work discussing the difference between representations of the integer n as a sum of squares and partitions of n into square summands. In this article we return to this topic and consider four partition functions involving square parts and prove various arithmetic properties of these functions. These results provide a natural extension to the work of Lehmer.
Original language | English (US) |
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Pages (from-to) | 279-287 |
Number of pages | 9 |
Journal | Ramanujan Journal |
Volume | 8 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1 2004 |
Externally published | Yes |
Keywords
- Partitions into squares