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Global restrictions on ramification in number fields

✍ Scribed by H. Zantema


Publisher
Springer
Year
1983
Tongue
English
Weight
672 KB
Volume
43
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES


On Smooth Ideals in Number Fields
✍ Johannes A Buchmann; Christine S Hollinger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 310 KB

For y # R >0 an integral ideal of an algebraic number field F is called y-smooth if the norms of all of its prime ideal factors are bounded by y. Assuming the generalized Riemann hypothesis we prove a lower bound for the number F (x, y) of integral y-smooth ideals in F whose norms are bounded by x #