Über die Klassenzahlen algebraischer Zahlkörper

Sigekatu Kuroda

doi:10.1017/S0027763000022777

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Seit Herr Artin seine allgemeinen L-Funktionen, die mit Frobeniusschen Gruppencharakteren gebildet sind, entdeckt hat [1], sind die multiplikativen Relationen Dedekindscher ζ-Funktionen als additive Relationen zwischen den Frobeniusschen Gruppencharakteren mit Erfolg untersucht worden. Durch diese Methode sind gewisse Klassenzahlrelationen in den folgenden Zeilen zu betrachten.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Kubota, Tomio 1953. Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers. Nagoya Mathematical Journal, Vol. 6, Issue. , p. 119.

Kubota, Tomio 1956. Über Den Bizyklischen Biquadratischen Zahlkörper. Nagoya Mathematical Journal, Vol. 10, Issue. , p. 65.

Honda, Taira 1960. On the Absolute Ideal Class Groups of Relatively Meta-Cyclic Number Fields of a Certain Type. Nagoya Mathematical Journal, Vol. 17, Issue. , p. 171.

Cassels, J. W. S. and Guy, M. J. T. 1966. On the Hasse principle for cubic surfaces. Mathematika, Vol. 13, Issue. 2, p. 111.

Honda, Taira 1971. Pure cubic fields whose class numbers are multiples of three. Journal of Number Theory, Vol. 3, Issue. 1, p. 7.

Ishida, Makoto 1973. Fundamental units of certain algebraic number fields. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Vol. 39, Issue. 1, p. 245.

1975. The Theory of Numbers. Vol. 8, Issue. , p. 519.

ENDÔ, Akira 1976. ON DIVISIBILITY OF THE CLASS NUMBER OF Q(9√n) BY 3. Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, Vol. 30, Issue. 2, p. 299.

Walter, Colin D. 1977. A class number relation in Frobenius extensions of number fields. Mathematika, Vol. 24, Issue. 2, p. 216.

Jehne, Wolfram 1977. �ber die Einheiten- und Divisorenklassengruppe von reellen Frobeniusk�rpern von Maximaltyp. Mathematische Zeitschrift, Vol. 152, Issue. 3, p. 223.

Gillard, Roland 1979. Remarques sur les unités cyclotomiques et les unités elliptiques. Journal of Number Theory, Vol. 11, Issue. 1, p. 21.

Duval, Dominique 1981. Sur la structure galoisienne du groupe des unités d'un corps abélien réel de type (p, p). Journal of Number Theory, Vol. 13, Issue. 2, p. 228.

Endô, Akira 1984. Remark on the divisibility of the class numbers of certain quartic number fields by 5. Proceedings of the American Mathematical Society, Vol. 91, Issue. 4, p. 513.

Nakagoshi, Norikata 1984. A note on l-class groups of certain algebraic number fields. Journal of Number Theory, Vol. 19, Issue. 2, p. 140.

Horie, Kuniaki 1987. On Iwasawa λ−-invariants of imaginary abelian fields. Journal of Number Theory, Vol. 27, Issue. 3, p. 238.

Berger, Ruth I. 1992. Hasse's class number product formula for generalized Dirichlet fields and other types of number fields. Manuscripta Mathematica, Vol. 76, Issue. 1, p. 397.

Bosma, Wieb and DE Smit, Bart 2001. Class Number Relations from a Computational Point of View. Journal of Symbolic Computation, Vol. 31, Issue. 1-2, p. 97.

Fieker, Claus and Klüners, Jürgen 2003. Minimal discriminants for fields with small Frobenius groups as Galois groups. Journal of Number Theory, Vol. 99, Issue. 2, p. 318.

Benjamin, Elliot Lemmermeyer, Franz and Snyder, Chip 2007. On the unit group of some multiquadratic number fields. Pacific Journal of Mathematics, Vol. 230, Issue. 1, p. 27.

Глухов, Михаил Михайлович and Glukhov, Mikhail Mikhailovich 2010. Об использовании групп классов идеалов квадратичных полей для построения криптографических систем с открытым ключом. Математические вопросы криптографии, Vol. 1, Issue. 1, p. 23.

Download full list

Article contents

Über die Klassenzahlen algebraischer Zahlkörper

Extract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests