Densities for certain l-ranks in cyclic fields of degree l n
Gerth, III, Frank
Compositio Mathematica, Tome 60 (1986), p. 295-322 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1986-01-01
@article{CM_1986__60_3_295_0,
     author = {Gerth, III, Frank},
     title = {Densities for certain $l$-ranks in cyclic fields of degree $l^n$},
     journal = {Compositio Mathematica},
     volume = {60},
     year = {1986},
     pages = {295-322},
     mrnumber = {869105},
     zbl = {0608.12008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1986__60_3_295_0}
}

Gerth, III, Frank. Densities for certain $l$-ranks in cyclic fields of degree $l^n$. Compositio Mathematica, Tome 60 (1986) pp. 295-322. http://gdmltest.u-ga.fr/item/CM_1986__60_3_295_0/

[1] H. Cohen and H. Lenstra, Jr.: Heuristics on class groups of number fields. Lecture Notes in Math. 1068 (1984) 33-62. | MR 756082 | Zbl 0558.12002

[2] A. Fröhlich: Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields. American Mathematical Society, Providence, R.I. (1983). | MR 720859 | Zbl 0519.12001

[3] F. Gerth: Counting certain number fields with prescribed l-class numbers, J. Reine Angew. Math. 337 (1982) 195-207. | MR 676052 | Zbl 0485.12006

[4] F. Gerth: An application of matrices over finite fields to algebraic number theory. Math. Comp. 41 (1983) 229-234. | MR 701637 | Zbl 0519.12003

[5] F. Gerth: The 4-class ranks of quadratic fields. Invent. Math. 77 (1984) 489-515. | MR 759260 | Zbl 0533.12004

[6] F. Gerth: Densities for ranks of certain parts of p-class groups, to appear. | MR 866419 | Zbl 0625.12005

[7] G. Hardy and E. Wright: An Introduction to the Theory of Numbers, 4th ed. Oxford Univ. Press, London (1965). | MR 568909 | Zbl 0020.29201

[8] G. Landsberg: Über eine Anzahlbestimmung und eine damit zusammenhängende Reihe. J. Reine Angew. Math. 111 (1893) 87-88. | JFM 25.0430.01

[9] P. Morton: Density results for the 2-classgroups of imaginary quadratic fields. J. Reine Angew. Math. 332 (1982) 156-187. | MR 656862 | Zbl 0491.12004