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SOLUTION TO PROBLEM 10723 PROPOSED BY C. J. HILLAR
 

Summary: SOLUTION TO PROBLEM 10723
PROPOSED BY C. J. HILLAR
Tewodros Amdeberhan
DeVry Institute, Mathematics
630 US Highway One, North Brunswick, NJ 08902
amdberhan@admin.nj.devry.edu
Proposed by C. J. Hillar, Yale Univ., New Haven, CT Let p be an odd prime. Prove thatPp,1
i=1 2i
i
p,2
Pp,1=2
i=1 i
p,2
mod p:
Solution by T. Amdeberhan, DeVry Institute, North Brunswick, NJAssmue all congruences are
mod p, here. In the group Z
p
:= f1; : : : ; p , 1g, we have k
p,2
k

  

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

 

Collections: Mathematics