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Kendirli, Baris Korean Mathematical Society 2012 대한수학회보 Vol.49 No.3
A basis of a subspace of $S_4({\Gamma}_0(79))$ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $x^2_1+x_1x_2+20x^2_2$, $4x^2_1{\pm}x_1x_2+5x^2_2$, $2x^2_1{\pm}x_1x_2+10x^2_2$ are determined.
Baris Kendirli 대한수학회 2012 대한수학회보 Vol.49 No.3
A basis of a subspace of $S_{4}\left( \Gamma _{0}\left( 79\right) \right) $ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $x_{1}^{2}+x_{1}x_{2}+20x_{2}^{2},$ $ 4x_{1}^{2}\pm x_{1}x_{2}+5x_{2}^{2},$ $2x_{1}^{2}\pm x_{1}x_{2}+10x_{2}^{2}$ are determined.