On the parity of the Fourier coefficients of the Hauptmoduln and j_{N}^{+}(z)
Volume 188 / 2019
Acta Arithmetica 188 (2019), 171-182
MSC: Primary 11F03; Secondary 11F30, 11F33.
DOI: 10.4064/aa171027-15-5
Published online: 15 February 2019
Abstract
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.
