On sums of powers of the positive integers
Tom 132 / 2013
                    
                    
                        Colloquium Mathematicum 132 (2013), 211-220                    
                                        
                        MSC: Primary 11B57.                    
                                        
                        DOI: 10.4064/cm132-2-4                    
                                    
                                                Streszczenie
The pairs $(k,m)$ are studied such that for every positive integer $n$ we have $1^k +2^k +\cdots+n^k\,|\,1^{km} + 2^{km} + \cdots+n^{km}$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            