Multiplicative polynomials and Fermat's little theorem for non-primes

Paul Milnes and C. Stanley-Albarda

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-8

Abstract:

Fermat's Little Theorem states that x p = x ( mod p ) for x ∈ N and prime p , and so identifies an integer-valued polynomial (IVP) g p ( x ) = ( x p − x ) / p . Presented here are IVP's g n for non-prime n that complete the sequence { g n | n ∈ N } in a natural way. Also presented are characterizations of the g n 's and an indication of the ideas from topological dynamics and algebra that brought these matters to our attention.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:257065

DOI: 10.1155/S0161171297000719

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