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SOLUTION TO PROBLEM 10697 PROPOSED BY J. L. DIAZ
 

Summary: SOLUTION TO PROBLEM 10697
PROPOSED BY J. L. DIAZ
Tewodros Amdeberhan
DeVry Institute, Mathematics
630 US Highway One, North Brunswick, NJ 08902
amdberhan@admin.nj.devry.edu
PROBLEM: P Given n distinct nonzero complex numbers z1;z2;:::;zn, show that
1
nX
k=1
1
zk
nY
j=1
j6=k
1
zk ,zj
= ,1n+1
z1z2 zn
:

  

Source: Amdeberhan, Tewodros - Department of Mathematics, Tulane University

 

Collections: Mathematics