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Towards a characterization of subfields of the Deligne–Lusztig function fields

✍ Scribed by Bassa, Alp; Ma, Liming; Xing, Chaoping; Yeo, Sze Ling


Book ID
120297008
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
353 KB
Volume
120
Category
Article
ISSN
0097-3165

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On the Class Numbers of the Maximal Real
✍ Humio Ichimura 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 275 KB

For a prime number l, let h> J be the class number of the maximal real subfield of the l-th cyclotomic field. For each natural number N, it is plausible but not yet proved that there exist infinitely many prime numbers l with h> J 'N. We prove an analogous assertion for cyclotomic function fields.