A Note on a Theorem of Rotkiewicz
Gombodorj Bayarmagnai
Department of Mathematics
National University of Mongolia
Baga Toirog
Ulaanbaatar 14200
Mongolia
Abstract:
In 1961, Rotkiewicz presented a generalisation of the well-known fact
that n divides ϕ(an - 1)
for all positive integers n and a > 1, where ϕ is
Euler's totient function. In this note, we extend his result to values
of cyclotomic polynomials.
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Received
November 25 2014; revised versions received February 4 2015; February 13 2015; February 14 2015.
Published in Journal of Integer Sequences, February 14 2015.
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