Recently,Williams expressed all coefficients of one hundred and twenty-six eta quotients in terms of σ(n), σ(n/2), σ(n/3) and σ(n/6), and Yao, Xia and Jin, expressed only even coefficients of one hundred and four eta quotients in terms of σ3(n), σ3(n/2), σ3(n/3) and σ3(n/6). The...
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Research Article10.9734/BJMCS/2016/24665
Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of σ(n) σ(n/2), σ(n/3) and σ(n/6) and Yao, Xia a...
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Research Article10.9734/BJMCS/2015/18442
We evaluate the convolution sums using the theory of quasimodular forms and determine the number of representations of a positive integer n by some direct sum of the forms of discriminant -135 by modular forms. Moreover, we explain how to determine the number of representation...
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Research Article10.9734/BJMCS/2015/13973