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On the Oscillations of Multiplicative Functions Taking Values +/- 1

Ernie Croot

Published 2002-08-27, updated 2002-08-28Version 2

For completely multiplicative functions f(n) taking values 1 and -1, under certain conditions on f(n) we show that f(n) changes sign at least x exp(-7(log log x)sqrt(log x)) times as n runs through the integers <= x.

Comments: 12 pages, accepted by Journal of Number Theory
Categories: math.NT
Subjects: 11N56
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