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Character sums and primitive roots in algebraic number fields

✍ Scribed by Jürgen G. Hinz


Publisher
Springer Vienna
Year
1983
Tongue
English
Weight
432 KB
Volume
95
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


Character Sums, Primitive Elements, and
✍ Arne Winterhof 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Consider an extension field F q m =F q (a) of the finite field F q . Davenport proved that the set F q +a contains at least one primitive element of F q m if q is sufficiently large with respect to m. This result is extended to certain subsets of F q +a of cardinality at least of the order of magnit