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.
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Hirschhorn, M., Sellers, J. On a Problem of Lehmer on Partitions into Squares. Ramanujan J 8, 279–287 (2004). https://doi.org/10.1007/s11139-004-0138-0
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DOI: https://doi.org/10.1007/s11139-004-0138-0