Nonnegative sums of roots of unity
✍ Scribed by Hans Günther Kopetzky; Wolfgang Schwarz; Eduard Wirsing
- Book ID
- 112499621
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 309 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
In an earlier work, the authors determined all possible weights n for which there exists a vanishing sum 1 ϩ и и и ϩ n ϭ 0 of mth roots of unity i in characteristic 0. In this paper, the same problem is studied in finite fields of characteristic p. For given m and p, results are obtained on integers