On the parity of $k$-th powers modulo $p$. A generalization of a problem of Lehmer
Tom 147 / 2011
                    
                    
                        Acta Arithmetica 147 (2011), 173-203                    
                                        
                        MSC: 11K36, 11K38, 11L03, 11L07, 11N69.                    
                                        
                        DOI: 10.4064/aa147-2-6                    
                                    
                                                                
                             
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            