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

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

2002-08-27

arxiv.org/abs/math/0208213v2

Mathematics

Number Theory

12 pages, accepted by Journal of Number Theory

Scientific paper

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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