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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

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📜 SIMILAR VOLUMES


On Sums of Roots of Unity
✍ Roberto Dvornicich; Umberto Zannier 📂 Article 📅 2000 🏛 Springer Vienna 🌐 English ⚖ 118 KB
On Vanishing Sums of Roots of Unity
✍ T.Y Lam; K.H Leung 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 150 KB

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

Vanishing Sums ofmth Roots of Unity in F
✍ T.Y. Lam; K.H. Leung 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 273 KB

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