On explicit relations between cyclotomic numbers
Marc Conrad
Acta Arithmetica, Tome 92 (2000), p. 67-76 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207400
@article{bwmeta1.element.bwnjournal-article-aav93i1p67bwm,
     author = {Marc Conrad},
     title = {On explicit relations between cyclotomic numbers},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {67-76},
     zbl = {0956.11023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i1p67bwm}
}
Marc Conrad. On explicit relations between cyclotomic numbers. Acta Arithmetica, Tome 92 (2000) pp. 67-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i1p67bwm/

[000] [1] H. Bass, Generators and relations for cyclotomic units, Nagoya Math. J. 27 (1966), 401-407. | Zbl 0144.29403

[001] [2] M. Conrad, Construction of bases for the group of cyclotomic units, J. Number Theory, to appear. | Zbl 0986.11072

[002] [3] M. Conrad, Basen von Moduln mit Anwendung auf Kreiseinheiten und Stickelbergerelemente, Dissertation an der Universität des Saarlandes, Saarbrücken, 1997.

[003] [4] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1966.

[004] [5] V. Ennola, On relations between cyclotomic units, J. Number Theory 4 (1972), 236-247. | Zbl 0236.12005

[005] [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. | Zbl 0744.11052

[006] [7] K. Ramachandra, On the units of cyclotomic fields, Acta Arith. 12 (1966), 165-173. | Zbl 0144.29404

[007] [8] C.-G. Schmidt, Die Relationsfaktorgruppen von Stickelberger-Elementen und Kreiszahlen, J. Reine Angew. Math. 315 (1980), 60-72.

[008] [9] SIMATH, Ein Computeralgebrasystem für algorithmische Zahlentheorie, http://simath.math.uni-sb.de.

[009] [10] W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. 108 (1978), 107-134. | Zbl 0395.12014

[010] [11] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1997. | Zbl 0966.11047