Irregular imaginary fields
Archivum mathematicum, Tome 17 (1981) no. 2, pp. 95-112
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11B39, 11R04, 11R18, 11R23
@article{ARM_1981_17_2_a5,
     author = {Seluck\'y, Konstantin and Skula, Ladislav},
     title = {Irregular imaginary fields},
     journal = {Archivum mathematicum},
     pages = {95--112},
     year = {1981},
     volume = {17},
     number = {2},
     mrnumber = {673252},
     zbl = {0476.12005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1981_17_2_a5/}
}
TY  - JOUR
AU  - Selucký, Konstantin
AU  - Skula, Ladislav
TI  - Irregular imaginary fields
JO  - Archivum mathematicum
PY  - 1981
SP  - 95
EP  - 112
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_1981_17_2_a5/
LA  - en
ID  - ARM_1981_17_2_a5
ER  - 
%0 Journal Article
%A Selucký, Konstantin
%A Skula, Ladislav
%T Irregular imaginary fields
%J Archivum mathematicum
%D 1981
%P 95-112
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_1981_17_2_a5/
%G en
%F ARM_1981_17_2_a5
Selucký, Konstantin; Skula, Ladislav. Irregular imaginary fields. Archivum mathematicum, Tome 17 (1981) no. 2, pp. 95-112. http://geodesic.mathdoc.fr/item/ARM_1981_17_2_a5/

[1] Adachi N.: Generalization of Kummer's criterion for divisibility of class numbers. Jouгnal of Number Theoгy, 5 (1973), 253-265. | MR | Zbl

[2] Caгlitz L.: The first factor of the class number ofba cyclic field. Can. J. Math. vol. 6 (1953), 23-26.

[3] Narkiewicz W.: Elementary and analytic theory of algebraic numbers. Warszawa 1974. | MR | Zbl

[4] Pollaczek F.: Über die irregulären Kreiskörper der l-ten und $l^2$-ten Einheitswurzeln. Math. Z. 21 (1924), 1-38. | MR

[5] Ribet K. A.: A modulas construction of unramified p-extensions of $Q(\mu_p)$. Inventiones mathematicae 34 (1976), 151-162. | MR

[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

[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