Abstract
Time and frequency measurements of a high frequency oscillator need the comparison to a reference oscillator: the physical units of the measurement are the integers and the relevant approach is analytical number theory. We show this in the context of the moon-sun calendar discovered in ancient Greece and in the context of a communication receiver. It is shown that the resets in time measurements are governed by continued fraction expansions and that their low frequency statistics connects to prime number theory. A link between Riemann hypothesis and 1/F noise arises in this context.
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