Densities for certain l -ranks in cyclic fields of degree l n

Frank Gerth, III

Compositio Mathematica (1986)

  • Volume: 60, Issue: 3, page 295-322
  • ISSN: 0010-437X

How to cite


Gerth, III, Frank. "Densities for certain $l$-ranks in cyclic fields of degree $l^n$." Compositio Mathematica 60.3 (1986): 295-322. <>.

author = {Gerth, III, Frank},
journal = {Compositio Mathematica},
keywords = {-class rank; cyclic extension; genus group},
language = {eng},
number = {3},
pages = {295-322},
publisher = {Martinus Nijhoff Publishers},
title = {Densities for certain $l$-ranks in cyclic fields of degree $l^n$},
url = {},
volume = {60},
year = {1986},

AU - Gerth, III, Frank
TI - Densities for certain $l$-ranks in cyclic fields of degree $l^n$
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 3
SP - 295
EP - 322
LA - eng
KW - -class rank; cyclic extension; genus group
UR -
ER -


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  5. [5] F. Gerth: The 4-class ranks of quadratic fields. Invent. Math.77 (1984) 489-515. Zbl0533.12004MR759260
  6. [6] F. Gerth: Densities for ranks of certain parts of p-class groups, to appear. Zbl0625.12005MR866419
  7. [7] G. Hardy and E. Wright: An Introduction to the Theory of Numbers, 4th ed. Oxford Univ. Press, London (1965). Zbl0020.29201MR568909
  8. [8] G. Landsberg: Über eine Anzahlbestimmung und eine damit zusammenhängende Reihe. J. Reine Angew. Math.111 (1893) 87-88. Zbl25.0430.01JFM25.0430.01
  9. [9] P. Morton: Density results for the 2-classgroups of imaginary quadratic fields. J. Reine Angew. Math.332 (1982) 156-187. Zbl0491.12004MR656862

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