A PROBABILISTIC-INTERPRETATION OF THE HURWITZ ZETA FUNCTION

Presented in a continuous extension of a measure used by Sal Golomb to define a probability on the sample space of natural numbers. The extension is a probability measure which holds several characteristic in common with Golotnb′s measure but on the sel (1, ∞). I have proven a theorem which relates the continuous measure to the continuous arithmetic density in a manner analogous to the relation with Golomb′s discrete measure and the discrete arithmic density. © 1993 Academic Press, Inc.