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Diophantine approximation and sums of roots of unity

✍ Scribed by H. Davenport; A. Schinzel


Book ID
105179531
Publisher
Springer
Year
1967
Tongue
English
Weight
636 KB
Volume
169
Category
Article
ISSN
0025-5831

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An unsolved problem in number theory asked the following: For a given natural number m, what are the possible integers n for which there exist mth roots of unity We show in this paper that the set of all possible n's is exactly the collection of -combinations of the prime divisors of m, where denot