Let p be an odd regular prime number. We prove that there exist infinitely many totally real number fields k of degree p&1 whose class numbers are not divisible by p. Moreover, for certain regular prime number p, we prove that there exist infinitely many totally real number fields k of degree p&1 wh
โฆ LIBER โฆ
On the Iwasawa invariants of totally real number fields
โ Scribed by Hiroshi Yamashita
- Book ID
- 110558758
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 212 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Class Numbers and Iwasawa Invariants of
โ
Dongho Byeon
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 119 KB
Iwasawa Invariants of Real Abelian Numbe
โ
Shu-Leung Tang
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 351 KB
Let k be a real abelian number field and p an odd prime. We give a criterion for the vanishing of the \*-invariant for the Z p -extension of k and apply it to give some examples of \*=0.
Iwasawa invariants of abelian number fie
โ
Bruce Ferrero
๐
Article
๐
1978
๐
Springer
๐
English
โ 816 KB
Computation of the Iwasawa invariants of
โ
Hiroki Sumida-Takahashi
๐
Article
๐
2004
๐
Elsevier Science
๐
English
โ 279 KB
Let p be a prime number and k a finite extension of Q: It is conjectured that the Iwasawa invariants l p รฐkร and m p รฐkร vanish for all p and totally real number fields k: Some methods to verify the conjecture for each real abelian field k are known, in which cyclotomic units and a set of auxiliary
Indivisibility of Class Numbers and Iwas
โ
Dongho Byeon
๐
Article
๐
2001
๐
Cambridge University Press
๐
English
โ 86 KB
On the Iwasawa ฮป2-invariants of certain
โ
Manabu Ozaki; Hisao Taya
๐
Article
๐
1997
๐
Springer
๐
English
โ 394 KB