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Martingales and Multiplicative Functions

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If you have a question about this talk, please contact Tom Sanders.

I will discuss some normal approximation results for sums of a “random multiplicative function”. The proofs make use of a central limit theorem for martingales, together with estimates for the number of integers with certain numbers of prime divisors. I will try to make the talk accessible and interesting to both number theorists and probabilists (and others).

This talk is part of the Discrete Analysis Seminar series.

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