𝔖 Bobbio Scriptorium
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On Sums of Roots of Unity

✍ Scribed by Roberto Dvornicich; Umberto Zannier


Book ID
106198894
Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
118 KB
Volume
129
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES


On Vanishing Sums of Roots of Unity
✍ T.Y Lam; K.H Leung πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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

Nonnegative sums of roots of unity
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Vanishing Sums ofmth Roots of Unity in F
✍ T.Y. Lam; K.H. Leung πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 273 KB

In an earlier work, the authors determined all possible weights n for which there exists a vanishing sum 1 Ο© ΠΈ ΠΈ ΠΈ Ο© n Ο­ 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