Article PDF
Avoid common mistakes on your manuscript.
References
Cohen, H.: Sur la distribution asymptotique des groupes de classes. C.R. Acad. Sc. Paris296, 245–247 (1983)
Cohen, H., Lenstra, H.: Heuristics on class groups, to appear in the proceedings of the Journées arithmétiques in Leiden (Holland) 1983
Cohn, H., Lagarias, J.: On the existence of fields governing the 2-invariants of the classgroup of\(Q(\sqrt {dp} )\) asp varies. Math. Comp. in press, (1984)
Davenport, H.: Multiplicative number theory, 2nd ed. New York: Springer 1980
Gerth, F.: Counting certain number fields with prescribedl-class numbers. J. Reine Angew. Math.337, 195–207 (1982)
Gerth, F., Graham, S.: Application of a character sum estimate to a 2-class number density. J. Number Theory in press (1984)
Hardy, G. Wright, E.: An Introduction to the Theory of Number, 4th ed. London: Oxford Univ. Press 1965
Heilbronn H.: On the averages of some arthmetical functions of two variables. Mathematika5, 1–7 (1958)
Kemeny, J., Snell, J., Knapp, A.: Denumerable Markov Chains. New York: Springer 1976
Morton, P.: Density results for the 2-classgroyps of imaginary quadratic fields. J. Reine Angew. Math.332, 156–187 (1982)
Rédei, L.: Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper. J. Reine Angew. Math.171, 55–60 (1934)
Rédei, L.: Über einige Mittelwertfragen im quadratischen Zahlkörper. J. Reine Angew. Math.174, 15–55 (1936)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gerth, F. The 4-class ranks of quadratic fields. Invent Math 77, 489–515 (1984). https://doi.org/10.1007/BF01388835
Issue Date:
DOI: https://doi.org/10.1007/BF01388835