On the uniform distribution (mod 1) of the Farey fractions andl P spaces

1988 ◽  
Vol 279 (3) ◽  
pp. 413-422 ◽  
Author(s):  
P. Codeca ◽  
A. Perelli
Keyword(s):  
Uniform Distribution ◽  
Farey Fractions ◽  
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 A property of the uniform distribution modulo 1

2008 ◽  
Vol 48 ◽  
Author(s):  
Vytautas Kazakevičius
Keyword(s):  
Uniform Distribution ◽  
Farey Fractions ◽  
Distribution Modulo 1 ◽  
Uniform Distribution Modulo 1 ◽  
Distribution Modulo

An interesting relationship between Farey fractions and the uniform distribution modulo 1 is discovered.

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