Geodesic
On the parity of the Fourier coefficients of the Hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$
Moni Kumari1 ; Sujeet Kumar Singh2
1 School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400 005, India
2 National Institute of Science Education and Research HBNI, Bhubaneswar Via-Jatni Khurda, Odisha, 752050, India
Acta Arithmetica, Tome 188 (2019) no. 2, pp. 171-182.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa171027-15-5
Keywords: obtain results about parity fourier coefficients hauptmoduln positive integers elementary methods techniques kolberg proof parity partition function

Moni Kumari 1 ; Sujeet Kumar Singh 2

1 School of Mathematics Tata Institute of Fundamental Research Homi Bhabha Road Mumbai 400 005, India
2 National Institute of Science Education and Research HBNI, Bhubaneswar Via-Jatni Khurda, Odisha, 752050, India 
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Moni Kumari; Sujeet Kumar Singh. On the parity of the Fourier coefficients of the Hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$. Acta Arithmetica, Tome 188 (2019) no. 2, pp. 171-182. doi : 10.4064/aa171027-15-5. http://geodesic.mathdoc.fr/articles/10.4064/aa171027-15-5/

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