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Galois invariance of local root numbers

✍ Scribed by David E. Rohrlich


Book ID
105873843
Publisher
Springer
Year
2010
Tongue
English
Weight
296 KB
Volume
351
Category
Article
ISSN
0025-5831

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Galois number fields with small root dis
✍ John W. Jones; David P. Roberts πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 318 KB

We pose the problem of identifying the set K(G, Ξ©) of Galois number fields with given Galois group G and root discriminant less than the Serre constant Ξ© β‰ˆ 44.7632. We definitively treat the cases G = A 4 , A 5 , A 6 and S 4 , S 5 , S 6 , finding exactly 59, 78, 5 and 527, 192, 13 fields, respective