On cyclotomic units connected with p-adic characters

Tsuyoshi UEHARA

doi:10.2969/jmsj/03710065

Tsuyoshi UEHARA

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JOURNAL FREE ACCESS

1985 Volume 37 Issue 1 Pages 65-77

DOI https://doi.org/10.2969/jmsj/03710065

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Published: 1985 Received: August 23, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Z. I. Borevich and I. R. Shafarevich, Number theory, Academic Press, London and New York, 1966.
2) G. Gras, Classes d'idéaux des corps abeliens et nombres de Bernoulli généralisés, Ann. Inst. Fourier (Grenoble), 27 (1977), 1-66.
3) K. Iwasawa, A note on cyclotomic fields, Invent. Math., 36 (1976), 115-123.
4) S. Lang, Cyclotomic fields, Springer-Verlag, New York, 1978.
5) H. W. Leopoldt, Zur Struktur der l-Klassengruppe galoisscher Zahlkörper, J. Reine Angew. Math., 199 (1958), 165-174.
6) H. W. Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math., 209 (1962), 54-71.
7) T. Uehara, On some congruences for generalized Bernoulli numbers, Rep. Fac. Sci. Engrg. Saga Univ. Math., 10 (1982), 1-8.
8) A. Wiles, Modular curves and the class group of Q(ζ_p), Invent. Math., 58 (1980), 1-35.

Right : [1] Z. I. Borevich and I. R. Shafarevich, Number theory, Academic Press, London and New York, 1966.
[2] G. Gras, Classes d'idéaux des corps abeliens et nombres de Bernoulli généralisés, Ann. Inst. Fourier (Grenoble), 27 (1977), 1-66.
[3] K. Iwasawa, A note on cyclotomic fields, Invent. Math., 36 (1976), 115-123.
[4] S. Lang, Cyclotomic fields, Springer-Verlag, New York, 1978.
[5] H. W. Leopoldt, Zur Struktur der l-Klassengruppe galoisscher Zahlkörper, J. Reine Angew. Math., 199 (1958), 165-174.
[6] H. W. Leopoldt, Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math., 209 (1962), 54-71.
[7] T. Uehara, On some congruences for generalized Bernoulli numbers, Rep. Fac. Sci. Engrg. Saga Univ. Math., 10 (1982), 1-8.
[8] A. Wiles, Modular curves and the class group of Q(ζ_p), Invent. Math., 58 (1980), 1-35.

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