Open AccessComplex Roots of Unity and Normal Numbers
Author(s) -
Jean–Marie De Koninck,
Imre Kátai
Publication year - 2014
Publication title -
journal of numbers
Language(s) - English
Resource type - Journals
eISSN - 2356-7511
pISSN - 2314-842X
DOI - 10.1155/2014/437814
Subject(s) - algorithm , computer science , artificial intelligence
Given an arbitrary prime number q, set ξ=e2πi/q. We use a clever selection of the values of ξα, α=1,2,…, in order to create normal numbers. We also use a famous result of André Weil concerning Dirichlet characters to construct a family of normal numbers
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