requirements: 1) it contains uniform distribution of a sequence of reals mod 1 as a special case; 2) certain theorems on uniformly distributed sequences mod 1. COROLLARY Fejer's Theorem. Let f (x) be a function defined for x > 1 that is differentiable for x > xo. If f'(x) tends monotonically to 0 as x --* oo and if lim. As a means for investigating sequences with respect to uniform distribution, it caused sequently, attention has been paid to the distribution of sequences of a.

Download full-text PDF. uniform. distribution. theory. DOI: /udt– sequence is a mapping deﬁned on the set of positive integers, the uniform dis-. The theory of uniform distribution began with Hermann Weyl's celebrated paper of In later decades, the theory moved beyond its roots in diophantine. The book Uniform distribution of sequences by Kuipers and Niederreiter, long Uniform distribution – or, as it is now more often called, “equidistribution” – of. § Uniform distribution and Weyl's criterion in one dimension. Let xn be a sequence of real numbers. We may decompose xn as the sum of its integer part [ xn]. COROLLARY Fejer's Theorem. Let f (x) be a function defined for x > 1 that is differentiable for x > xo. If f'(x) tends monotonically to 0 as x --* oo and if lim. the course of developing the theory of uniform distribution modulo 1. (abbreviated u.d. mod 1), we shall encounter many examples of sequences that enjoy this. Uniform distribution of sequences of integers. Compositio Mathematica, tome 16 ( ), p. Foundation Compositio Mathematica, , tous droits réservés. L'accès aux archives de la revue «Compositio Mathematica» (http: //style101.us /). As a means for investigating sequences with respect to uniform distribution, it caused sequently, attention has been paid to the distribution of sequences of a. requirements: 1) it contains uniform distribution of a sequence of reals mod 1 as a special case; 2) certain theorems on uniformly distributed sequences mod 1.

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