| Title:
|
Irregular imaginary fields (English) |
| Author:
|
Selucký, Konstantin |
| Author:
|
Skula, Ladislav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
17 |
| Issue:
|
2 |
| Year:
|
1981 |
| Pages:
|
95-112 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B39 |
| MSC:
|
11R04 |
| MSC:
|
11R18 |
| MSC:
|
11R23 |
| idZBL:
|
Zbl 0476.12005 |
| idMR:
|
MR673252 |
| . |
| Date available:
|
2008-06-06T06:09:24Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107098 |
| . |
| Reference:
|
[1] Adachi N.: Generalization of Kummer's criterion for divisibility of class numbers.Jouгnal of Number Theoгy, 5 (1973), 253-265. Zbl 0263.12005, MR 0332715 |
| Reference:
|
[2] Caгlitz L.: The first factor of the class number ofba cyclic field.Can. J. Math. vol. 6 (1953), 23-26. |
| Reference:
|
[3] Narkiewicz W.: Elementary and analytic theory of algebraic numbers.Warszawa 1974. Zbl 0276.12002, MR 0347767 |
| Reference:
|
[4] Pollaczek F.: Über die irregulären Kreiskörper der l-ten und $l^2$-ten Einheitswurzeln.Math. Z. 21 (1924), 1-38. MR 1544682 |
| Reference:
|
[5] Ribet K. A.: A modulas construction of unramified p-extensions of $Q(\mu_p)$.Inventiones mathematicae 34 (1976), 151-162. MR 0419403 |
| Reference:
|
[6] Vandiver H. S.: On the first factor of the class number of a cyciotomic field.Bull. Ameг. Math. Soc., 25 (1918-1919), 458-461. MR 1560224 |
| Reference:
|
[7] Wagstaff S. S., Jr.: The irregular primes to 125 000.Math. Comp., v. 32 (1978), 583-591 and the more detailed results: personal communication. MR 0491465 |
| . |
