Random Multiplicative Functions in Short Intervals

Sourav Chatterjee, K. Soundararajan

Type: Article

Publication Date: 2012-01-01

Citations: 37

DOI: https://doi.org/10.1093/imrn/rnr023

Abstract

We consider random multiplicative functions taking the values ±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.

Locations

International Mathematics Research Notices - View - PDF
arXiv (Cornell University) - View - PDF

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+	Summation of a random multiplicative function on numbers having few prime factors	2010	Bob Hough
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+	On mean values of random multiplicative functions	2012	Yuk-Kam Lau Gérald Tenenbaum Jie Wu
+	Large character sums	2000	Andrew Granville K. Soundararajan
+ PDF Chat	Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function	2013	Adam J. Harper
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+	On Gaps Between Squarefree Numbers II	1992	Michael Filaseta Ognian Trifonov