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# Stanislav Molchanov : On the random analytic functions

The talk will contain a review of several recent results on the analytic continuation of the random analytic functions. We will start from the classical theorem on the random Taylor series (going to Borel s school), but the main subject will be the random zeta function (which was introduced implicitly by Cramer) and its generalizations. We will show that true primes are not truly random , since zeta functions for the random pseudo-primes (in the spirit of Cramer) have no analytic continuation through the critical line Re (z) = 1/2.

**Category**: Probability**Duration**: 01:34:43**Date**: February 13, 2008 at 4:25 PM**Views**: 213-
**Tags:**seminar, Probability Seminar

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