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A lower bound on the rank of mixing extensions

✍ Scribed by Jonathan King


Book ID
112889591
Publisher
The Hebrew University Magnes Press
Year
1987
Tongue
English
Weight
157 KB
Volume
59
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


A Lower Bound for the Height in Abelian
✍ Francesco Amoroso; Roberto Dvornicich πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 172 KB

We produce an absolute lower bound for the height of the algebraic numbers (different from zero and from the roots of unity) lying in an abelian extension of the rationals. The proof rests on elementary congruences in cyclotomic fields and on Kronecker Weber theorem.