Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.6

A Note on a Theorem of Rotkiewicz

Gombodorj Bayarmagnai
Department of Mathematics
National University of Mongolia
Baga Toirog
Ulaanbaatar 14200


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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