On Leveque’s theorem about the uniform distribution (MOD 1) of (a j cosa jx) j =1/∞

1989 ◽  
Vol 65 (1) ◽  
pp. 96-112 ◽  
Author(s):  
R. Nair
Keyword(s):  
Uniform Distribution ◽  
Uniform Distribution Mod 1

scholarly journals A theorem in asymptotic number theory

1965 ◽  
Vol 5 (2) ◽  
pp. 196-206 ◽  
Author(s):  
Jack P. Tull
Keyword(s):  
Number Theory ◽  
Uniform Distribution ◽  
Arithmetic Function ◽  
Asymptotic Number ◽  
Uniform Distribution Mod 1 ◽  
Multiplicative Arithmetic ◽  
Multiplicative Arithmetic Function

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.

scholarly journals Walsh functions and uniform distribution mod $1$

1993 ◽  
Vol 45 (4) ◽  
pp. 555-563 ◽  
Author(s):  
Bruce G. Sloss ◽  
William F. Blyth
Keyword(s):  
Uniform Distribution ◽  
Walsh Functions ◽  
Uniform Distribution Mod 1
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