Random multiplicative functions in short intervals

Details Random multiplicative functions in short intervals Random multiplicative functions in short intervals

2010-11-22

arxiv.org/abs/1011.4917v2

Mathematics

Number Theory

13 pages. To appear in Int. Math. Res. Notices

Scientific paper

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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