On Weyl's criterion for uniform distribution.
نویسندگان
چکیده
منابع مشابه
On Weyl's Criterion for Uniform Distribution
1. In his famous memoir [1] of 1916, Weyl gave a necessary and sufficient condition for a sequence s1, s2 , • • • of real numbers to be uniformly distributed modulo 1, namely that for each integer m # 0, It is natural to ask : what condition on N S(N)=NI] e(msn)-0 n=1 as N-. (Here e(a) = ez7ria .) This criterion has been fundamental for much subsequent work on Diophantine approximation. Now sup...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1963
ISSN: 0026-2285
DOI: 10.1307/mmj/1028998917