Acta Math. Acad. Paed. Nyíregyháziensis
15 (1999), 19-26

Some number theoretic applications of the smallest denominator function

Zoltán Boros and Árpád Száz


We show that the smallest denominator function can be treated with a minimum amount of number theory. Moreover, this function can be used to nicely prove a number of fundamental divisibility and irrationality results.


Mathematics Subject Classification. 11A99.

Key words and phrases. The smallest denominator function, divisibility and irrationality.

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