The smallest denominator function and the Riemann function
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The smallest denominator function and the Riemann function

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Z. Boros, Á. Száz

In this paper, we initiate a rigorous and detailed study of
the smallest denominator function and the Riemann function.
For this, we first establish
some basic facts about real numbers and the divisibility of integers.

* Mathematics Subject Classification:*
26A15, 26A27, 26A30

* Keywords: *
Real number system, divisibility of integers, the smallest denominator function, the Riemann function