The smallest denominator function and the Riemann function

The smallest denominator function and the Riemann function

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