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

Ernie Croot

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

Ernie Croot

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Abstract

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.

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Ernie Croot. 2002-08-28. On the Oscillations of Multiplicative Functions Taking Values +/- 1. https://arxiv.org/abs/math/0208213

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