On explicit relations between cyclotomic numbers

• Autorzy: Marc Conrad
• Języki publikacji: EN

Kategorie tematyczne

• 11R18: Cyclotomic extensions
• 20F05: Generators, relations, and presentations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 93
• Numer: 1
• Strony: 67-76

Daty

wydano

2000

otrzymano

1999-03-22

poprawiono

1999-10-28

Twórcy

autor

Marc Conrad

• Gärtnerstraße 5, D-66117 Saarbrücken, Germany

Bibliografia

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