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arXiv · 1011.4917

Random multiplicative functions in short intervals

Sourav Chatterjee·Kannan Soundararajan
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Abstract

We consider random multiplicative functions taking the values $\pm 1$. Using Stein's method for normal approximation, we prove a central limit theorem for the sum of such multiplicative functions in appropriate short intervals.

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Sourav Chatterjee, Kannan Soundararajan. 2010-11-22. Random multiplicative functions in short intervals. https://arxiv.org/abs/1011.4917

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