Re: Periodicity of a^n mod c
From: Doug Goncz (dgoncz_at_aol.com)
Date: 09/25/04
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Date: 25 Sep 2004 00:25:09 GMT
>From: dgoncz@aol.com ( Doug Goncz ) (Me)
>Message-ID: <20040922204311.05810.00003412@mb-m27.aol.com>
>
>George Marsaglia directed me to his article "The Structure of Linear
>Congruential Sequences"
>For reference, here is George's referral
--------------------------------------
>The period of an arbitrary sequence x_{n+1}=ax_{n}+b mod m is established
>in G. Marsaglia, "The structure of linear congruential sequences" ,
>{\it Applications of Number Theory to Numerical Analysis}, Z. K. Zaremba,
>ed.,
>New York: Academic Press, pp249--285, (1972).
>It is summarized in exercise 20, section 3.2.1.2 of Knuth's Vol. 2.
---------------------------------------
Dumb question, fairly good timing.
Who's Knuth and what's the name of his textbook?
I figure if I can work exercise 20 that will be progress.
I have returned Zaremba's book on time and can now ask for Knuth's.
Yours,
Doug Goncz ( ftp://users.aol.com/DGoncz/incoming )
Student member SAE for one year.
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