Equal Sums of Like Powers

Ideal integer solutions of h < 0 case

a1h + a2h + ... + anh = b1h + b2h + ... + bnh     ( h = h1 , h2 , ... , hn with h1 <0 ) 


  • Introduction

  • Ideal integer solutions ( all h < 0 )
  • When all h < 0, ideal integer solutions have been found to the following 14 types (all obtained by Chen Shuwen, using Theorem 9 ):

  • Ideal integer solutions ( hn= 0 and all others h  < 0 )
  • When h1= 0 and all others h  < 0, integer solutions have been found to the following 6 types (all obtained by Chen Shuwen, using Theorem 9 ):

  • Ideal integer solutions ( h1< 0 and hn > 0 )
  • When h1< 0 and hn > 0, integer solutions have been found to the following 15 types:

  • Parametric solutions
  • Parametric solutions have been found to several types, includes the following:

    Last revised on Apr 9, 2017.
    Copyright 1997-2017, Chen Shuwen