| Title:
|
On the parity of the class numbers of real abelian fields (English) |
| Author:
|
Metsänkylä, Tauno |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
6 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
159-166 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11R18 |
| MSC:
|
11R20 |
| MSC:
|
11R29 |
| idZBL:
|
Zbl 1024.11072 |
| idMR:
|
MR1822527 |
| . |
| Date available:
|
2009-01-30T09:06:43Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120530 |
| . |
| Reference:
|
[D] D. Davis: Computing the number of totally positive circular units which are squares.J. Number Theory 10 (1978), no. 1, 1-9. Zbl 0369.12002, MR 0476695, 10.1016/0022-314X(78)90002-1 |
| Reference:
|
[F] K. Feng: An elementary criterion on parity of class number of cyclic number field.Sci. Sin., Ser. A 25 (1982), no. 10, 1032-1041. Zbl 0523.12006, MR 0690929 |
| Reference:
|
[G] D. A. Garbanati: Unit signatures, and even class numbers, and relative class numbers.J. Reine Angew. Math. 274/275 (1975), 376-384. MR 0376612 |
| Reference:
|
[H] H. Hasse: Über die Klassenzahl abelscher Zahlkorper.Akademie-Verlag, Berlin, 1952; Nachdruck: Springer-Verlag, Berlin-New York-Tokyo, 1985. |
| Reference:
|
[J] S. Jakubec: On divisibility of class number of real abelian fields of prime conductor.Abh. Math. Sem. Univ. Hamburg 63 (1993), 67-86. Zbl 0788.11052, MR 1227865, 10.1007/BF02941333 |
| Reference:
|
[Ml] T. Metsankyla: An application of the p-adic class number formula.Manuscr. Math. 93 (1997), no. 4, 481-498. MR 1465893, 10.1007/BF02677487 |
| Reference:
|
[M2] T. Metsankyla: Some divisibility results for the cyclotomic class number.Tatra Mt. Math. Publ. 11 (1997), 59-68. MR 1475505 |
| Reference:
|
[S] M. A. Shokrollahi: Relative class number of abelian CM-fields of prime conductor below 10000.manuscript. |
| Reference:
|
[Wa] L. C. Washington: Introduction to Cyclotomic Fields.2nd ed., Springer- Verlag, New York-Berlin- Heidelberg, 1996. MR 1421575 |
| . |
