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A Probabilistic Interpretation of the Hurwitz Zeta Function

โœ Scribed by R.A. Lippert

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
154 KB
Volume
97
Category
Article
ISSN
0001-8708

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โœฆ Synopsis

Presented in a continuous extension of a measure used by Sol 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 Golomb's measure but on the set ((1, \infty)). 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. (c) 1993 Academic Press. Inc.

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