Fourıer coeffıcıents of a class of ETA quotıents of weıght 20 wıth level 12

  • Authors

    • Barış Kendirli Aydın University Istanbul/Turkey
    2015-10-02
    https://doi.org/10.14419/ijams.v3i2.5247
  • Dedekind eta function, eta quotients, Fourier series.

  • Williams and later Yao, Xia and Jin 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 σ₃(n),σ₃((n/2)),σ₃((n/3)) and σ₃((n/6)).Here, we will express the even Fourier coefficients of 570 eta quotients in terms of σâ‚₉(n),σâ‚₉((n/2)),σâ‚₉((n/3)),σâ‚₉((n/4)),σâ‚₉((n/6)) and σâ‚₉((n/(12))).

  • References

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    Kendirli, B. (2015). Fourıer coeffıcıents of a class of ETA quotıents of weıght 20 wıth level 12. International Journal of Advanced Mathematical Sciences, 3(2), 121-146. https://doi.org/10.14419/ijams.v3i2.5247