ArticleOriginal scientific text

Title

Kummer's lemma for p-extensions over totally real number fields

Authors 1

Affiliations

  1. Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1, Ohkubo Shinjuku-ku, Tokyo, 169 Japan

Bibliography

  1. J. Coates, p-adic L-functions and Iwasawa's theory, in: Algebraic Number Fields, Durham Symposium, 1975, A. Fröhlich (ed.), Academic Press, London, 1977, 269-353.
  2. P. Colmez, Résidu en s = 1 des fonctions zêta p-adiques, Invent. Math. 91 (1988), 371-389.
  3. R. Greenberg, On the structure of certain Galois groups, Invent. Math. 47 (1978), 85-99.
  4. K. Iwasawa, On l-extensions of algebraic number fields, Ann. of Math. 98 (1973), 246-326.
  5. R. W. K. Odoni, On Gauss sums (modpn), Bull. London Math. Soc. 5 (1973), 325-327.
  6. W. Sinnott, On p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17.
  7. L. C. Washington, Units of irregular cyclotomic fields, Illinois J. Math. 23 (1979), 635-647.
  8. L. C. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, New York, 1982.
  9. L. C. Washington, Kummer's lemma for prime power cyclotomic fields, J. Number Theory 40 (1992), 165-173.
  10. A. Wiles, The Iwasawa conjecture for totally real fields, Ann. of Math. 131 (1990), 493-540.
Pages:
37-44
Main language of publication
English
Received
1996-01-29
Accepted
1996-10-08
Published
1997
Exact and natural sciences