no. 3
Densities for certain l-ranks in cyclic fields of degree l n
Compositio Mathematica, Tome 60 (1986) no. 3, pp. 295-322. 
@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},
     pages = {295--322},
     publisher = {Martinus Nijhoff Publishers},
     volume = {60},
     number = {3},
     year = {1986},
     mrnumber = {869105},
     zbl = {0608.12008},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__60_3_295_0/}
}
TY  - JOUR
AU  - Gerth, III, Frank
TI  - Densities for certain $l$-ranks in cyclic fields of degree $l^n$
JO  - Compositio Mathematica
PY  - 1986
SP  - 295
EP  - 322
VL  - 60
IS  - 3
PB  - Martinus Nijhoff Publishers
UR  - http://archive.numdam.org/item/CM_1986__60_3_295_0/
LA  - en
ID  - CM_1986__60_3_295_0
ER  - 
%0 Journal Article
%A Gerth, III, Frank
%T Densities for certain $l$-ranks in cyclic fields of degree $l^n$
%J Compositio Mathematica
%D 1986
%P 295-322
%V 60
%N 3
%I Martinus Nijhoff Publishers
%U http://archive.numdam.org/item/CM_1986__60_3_295_0/
%G en
%F 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) no. 3, pp. 295-322. http://archive.numdam.org/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 | Zbl

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

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

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

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

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

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

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

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