Equal Sums of Like Powers

Ideal positive integer solutions of k < 0 case

a1k + a2k + ... + an+1k = b1k + b2k + ... + bn+1k     ( k = k1 , k2 , ... , kn with k1 <0) 

    


  • Introduction

  • General theorems

  • Ideal positive integer solutions ( all k < 0 )
  • When all k < 0, ideal positive integer solutions have been found to the following 39 types (all obtained by Chen Shuwen, using Theorem 9):

  • Ideal positive integer solutions ( kn= 0 and all others k  < 0 )
  • When kn= 0 and all others k  < 0, ideal positive integer solutions have been found to the following 20 types (all obtained by Chen Shuwen, using Theorem 9):

  • Ideal positive integer solutions ( k1< 0 and kn > 0 )
  • When k1 < 0 and kn  > 0, ideal positive integer solutions have been found to the following 31 types:


    Last revised on May 31, 2017.
    Copyright 1997-2017, Chen Shuwen