For the work :  B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh, On the number of representations of certain quadratic forms in 8 variables, Contemp. Math.(AMS), 732 (2019), 215--224. (pdf)

Theorem 2.3,  j=1 case    Link  for sagefile,    Link  for sagefile-pdf.
Theorem 2.3,  j=4 case    Link  for  sagefile,   Link for sagefile-pdf.

For the work : Ankush Goswami, Abhash Kumar Jha and Anup Kumar Singh, Some Identities for the Partition function  J. Math. Anal. Appl., 508 (2022).
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