Distances of probability measures and uniform distribution mod 1

1975 ◽  
Vol 142 (2) ◽  
pp. 195-202 ◽  
Author(s):  
Rudolf M�ck ◽  
Walter Philipp
1965 ◽  
Vol 5 (2) ◽  
pp. 196-206 ◽  
Author(s):  
Jack P. Tull

Let α(n) be a multiplicative arithmetic function. H. Delange [1] has proved that if |α(n)| ≦ 1 for all n and for a certain constant ρ, , where if ρ = 1 then then . He applied this result to several problems such as uniform distribution (mod 1) of certain types of sequences.


1993 ◽  
Vol 45 (4) ◽  
pp. 555-563 ◽  
Author(s):  
Bruce G. Sloss ◽  
William F. Blyth

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