On the number of representations by certain octonary quadratic forms   with coefficients 1, 2, 3, 4 and 6
  In this paper, we find formulas for the number of representations of certain diagonal octonary quadratic forms with coefficients $1,2,3,4$ and $6$. We obtain these formulas by constructing explicit bases of the space of modular forms of weight $4$ on $\Gamma_0(48)$ with character. 
B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh
math.NT