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On the parity of the Fourier coefficients of the Hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$

Tom 188 / 2019

Moni Kumari, Sujeet Kumar Singh Acta Arithmetica 188 (2019), 171-182 MSC: Primary 11F03; Secondary 11F30, 11F33. DOI: 10.4064/aa171027-15-5 Opublikowany online: 15 February 2019

Streszczenie

We obtain some results about the parity of the Fourier coefficients of the Hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$ for some positive integers $N$. We use elementary methods and the techniques of O. Kolberg’s proof of the parity of the partition function.

Autorzy

  • Moni KumariSchool of Mathematics
    Tata Institute of Fundamental Research
    Homi Bhabha Road
    Mumbai 400 005, India
    e-mail
  • Sujeet Kumar SinghNational Institute of
    Science Education and Research
    HBNI, Bhubaneswar
    Via-Jatni
    Khurda, Odisha, 752050, India
    e-mail

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