Williams [16] and later Yao, Xia and Jin[15] 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 and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of σ_3(n), σ_3(n/2), σ_3(n/3) and σ_3(n/6). Here, we will express the even Fourier coefficients of 324 eta quotients in terms of σ_(17)(n), σ_(17(n/2), σ_(17)(n/3), σ_(17)(n/4), σ_(17)(n/6) and σ_(17)(n/12).
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