Generalized Kummer theory and its applications
نویسندگان
چکیده
منابع مشابه
Generalized Kummer theory and its applications
In this report we study the arithmetic of Rikuna’s generic polynomial for the cyclic group of order n and obtain a generalized Kummer theory. It is useful under the condition that ζ 6∈ k and ω ∈ k where ζ is a primitive n-th root of unity and ω = ζ + ζ−1. In particular, this result with ζ ∈ k implies the classical Kummer theory. We also present a method for calculating not only the conductor bu...
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ژورنال
عنوان ژورنال: Annales mathématiques Blaise Pascal
سال: 2009
ISSN: 1259-1734
DOI: 10.5802/ambp.259