On the parity of the Fourier coefficients of the Hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$
Tom 188 / 2019
                    
                    
                        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.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            