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
Cet article a éte moissonné depuis 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.
Keywords:
obtain results about parity fourier coefficients hauptmoduln positive integers elementary methods techniques kolberg proof parity partition function
Affiliations des auteurs :
Moni Kumari 1 ; Sujeet Kumar Singh 2
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author = {Moni Kumari and Sujeet Kumar Singh},
title = {On the parity of the {Fourier} coefficients of the {Hauptmoduln} $j_{N}(z)$ and $j_{N}^{+}(z)$},
journal = {Acta Arithmetica},
pages = {171--182},
year = {2019},
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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
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