# do you have a book Diophantine equations by L. J. Mordell?

• Jul 25th 2006, 11:10 PM
sheryl
do you have a book Diophantine equations by L. J. Mordell?
Good day everybody!

just want to ask if anybody out there has a book entitled Diophantine equations by L.J. Mordell? please....if you do have can i ask a favor to please send me the page 20 of the book through email. it is where the proof of pocklington is found. I badly need it for my report....please....please....help me....
I really appreciate it if anybody can give me the page of the said book.
here is my email ad: shrylsancho@yahoo.com
thanks!
• Jul 26th 2006, 08:28 AM
galactus
Will this suffice?.

Pocklington's Theorem: Let n-1 = qkR where q is a prime which does not divide R. If there is an integer a such that an-1 = 1 (mod n) and gcd(a(n-1)/q-1,n) = 1, then each prime factor q of n has the form qkr+1.

Proof. Let p be any prime divisor of n, and let m be the order of a modulo p. As above m divides n-1 (first condition on a), but not (n-1)/q (second condition); so qk divides m. Of course m divides p-1 so the conclusion follows.