Multiplicative functions at consecutive integers
1986 ◽
Vol 100
(2)
◽
pp. 229-236
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Keyword(s):
Let λ(n) denote the Liouville function, i.e. λ(n) = 1 if n has an even number of prime factors, and λ(n) = − 1 otherwise. It is natural to expect that the sequence λ(n) (n ≥ 1) behaves like a random sequence of ± signs. In particular, it seems highly plausible that for any choice of εi = ± 1 (i = 0,…, k) we have
1988 ◽
Vol 103
(3)
◽
pp. 389-398
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2001 ◽
Vol 38
(1-4)
◽
pp. 45-50
◽
1955 ◽
Vol 7
◽
pp. 347-357
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2017 ◽
Vol 39
(4)
◽
pp. 889-897
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Keyword(s):
1990 ◽
Vol 42
(2)
◽
pp. 315-341
◽
1998 ◽
Vol 64
(2)
◽
pp. 266-276
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