Let k be a Galois extension of Q with [k : Q]=d 2. The purpose of this paper is to give an upper bound for the least prime which does not split completely in k in terms of the degree d and the discriminant 2 k . Our estimate improves on the bound given by Lagarias et al. [3]. We note, however, that
Factorization of Prime Ideal Extensions in Dedekind Domains
β Scribed by Ilaria del Corso
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 136 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0747-7171
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β¦ Synopsis
In this paper, improving on the results of Del Corso (1992), we describe a method to factorize prime ideal extensions in Dedekind domains. This method needs factorization modulo (P) of a polynomial in at least two variables.
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