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Recently, Jha (arXiv: 2007. 04243, arXiv: 2011. 11038) has found identities that connect certain sums over the divisors of n to the number of representations of n as a sum of squares and triangular numbers. In this note, we state a generalized result that gives such relations for s-gonal numbers for any integer s3.
Bandyopadhyay et al. (Tue,) studied this question.