On explicit relations between cyclotomic numbers

Marc Conrad

Acta Arithmetica (2000)

  • Volume: 93, Issue: 1, page 67-76
  • ISSN: 0065-1036

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Marc Conrad. "On explicit relations between cyclotomic numbers." Acta Arithmetica 93.1 (2000): 67-76. <http://eudml.org/doc/207400>.

@article{MarcConrad2000,
author = {Marc Conrad},
journal = {Acta Arithmetica},
keywords = {cyclotomic numbers; Stickelberger ideal; algorithm; relative cyclotomic units},
language = {eng},
number = {1},
pages = {67-76},
title = {On explicit relations between cyclotomic numbers},
url = {http://eudml.org/doc/207400},
volume = {93},
year = {2000},
}

TY - JOUR
AU - Marc Conrad
TI - On explicit relations between cyclotomic numbers
JO - Acta Arithmetica
PY - 2000
VL - 93
IS - 1
SP - 67
EP - 76
LA - eng
KW - cyclotomic numbers; Stickelberger ideal; algorithm; relative cyclotomic units
UR - http://eudml.org/doc/207400
ER -

References

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  1. [1] H. Bass, Generators and relations for cyclotomic units, Nagoya Math. J. 27 (1966), 401-407. Zbl0144.29403
  2. [2] M. Conrad, Construction of bases for the group of cyclotomic units, J. Number Theory, to appear. Zbl0986.11072
  3. [3] M. Conrad, Basen von Moduln mit Anwendung auf Kreiseinheiten und Stickelbergerelemente, Dissertation an der Universität des Saarlandes, Saarbrücken, 1997. 
  4. [4] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1966. 
  5. [5] V. Ennola, On relations between cyclotomic units, J. Number Theory 4 (1972), 236-247. Zbl0236.12005
  6. [6] R. Kučera, On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field, ibid. 40 (1992), 284-316. Zbl0744.11052
  7. [7] K. Ramachandra, On the units of cyclotomic fields, Acta Arith. 12 (1966), 165-173. Zbl0144.29404
  8. [8] C.-G. Schmidt, Die Relationsfaktorgruppen von Stickelberger-Elementen und Kreiszahlen, J. Reine Angew. Math. 315 (1980), 60-72. 
  9. [9] SIMATH, Ein Computeralgebrasystem für algorithmische Zahlentheorie, http://simath.math.uni-sb.de. 
  10. [10] W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. 108 (1978), 107-134. Zbl0395.12014
  11. [11] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1997. Zbl0966.11047

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