JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 1, Pages 115 - 120
(June 2007)
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A NOTE ON p-ADIC DUCCI GAMES
Mihai Caragiu (U. S. A.) and Nathan Baxter (U. S. A.)
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Abstract: We consider n-number Ducci games over the ring of p-adic integers, in which the transition rule is the multiplication with a polynomial We show that the probability that a randomly chosen generates a p-adic Ducci game with the property that the iterates converge to zero in the p-adic metric no matter the initial input, is where t is the largest factor of n that is not divisible by p. |
Keywords and phrases: Ducci game, p-adic integers, finite fields, polynomials. |
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