On the l-divisibility of the relative class number of certain cyclic number fields

Kurt Girstmair

Acta Arithmetica (1993)

  • Volume: 64, Issue: 2, page 189-204
  • ISSN: 0065-1036

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Kurt Girstmair. "On the l-divisibility of the relative class number of certain cyclic number fields." Acta Arithmetica 64.2 (1993): 189-204. <http://eudml.org/doc/271767>.

@article{KurtGirstmair1993,
author = {Kurt Girstmair},
journal = {Acta Arithmetica},
keywords = {abelian number fields; explicit machine computation; excess; relative class number; divisibility},
language = {eng},
number = {2},
pages = {189-204},
title = {On the l-divisibility of the relative class number of certain cyclic number fields},
url = {http://eudml.org/doc/271767},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Kurt Girstmair
TI - On the l-divisibility of the relative class number of certain cyclic number fields
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 2
SP - 189
EP - 204
LA - eng
KW - abelian number fields; explicit machine computation; excess; relative class number; divisibility
UR - http://eudml.org/doc/271767
ER -

References

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  1. [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York 1976. 
  2. [2] S. I. Borevič und I. R. Šafarevič, Zahlentheorie, Birkhäuser, Basel 1966. 
  3. [3] K. Girstmair, The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8, and 10, Math. Comp., to appear. Zbl0787.11046
  4. [4] K. Girstmair, On the cosets of the 2q-power group in the unit group modulo p, Abh. Math. Sem. Univ. Hamburg 62 (1992), 217-232. Zbl0779.11052
  5. [5] H. Hasse, Über die Klassenzahl abelscher Zahlkörper (Nachdruck der ersten Auflage), Springer, Berlin 1985. 
  6. [6] R. H. Hudson, Class numbers of imaginary cyclic quartic fields and related quaternary systems, Pacific J. Math. 115 (1984), 129-142. Zbl0548.12002

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