This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
COATES, J., p-adic L-functions and Iwasawa's theory, in Algebraic Number Fields (ed. A. Fröhlich), Academic Press, (1977), 269–353.
COATES, J., SINNOTT, W., Integrality properties of the values of partial zeta functions, Proc. London Math. Soc. 34(1977), 365–384.
DELIGNE, P., RAPOPORT, M., Schémas de modules de courbes elliptiques, in Springer L. N., 349(1973).
DWYER, W., FRIEDLANDER, E., Etale K-theory and arithmetic, (to appear).
GREENBERG, R., On p-adic L-functions and cyclotomic fields II, Nagoya Math. J. 67(1977), 139–158
IWASAWA, K., Some modules in the theory of cyclotomic fields, J. Math. Soc. Japan 16(1964), 42–82.
IWASAWA, K., On p-adic L-functions, Ann. of Math. 89(1969), 198–205.
IWASAWA, K., On ℤ ℓ -extensions of algebraic number fields, Ann. of Math. 98(1973), 246–326.
IWASAWA, K., Lectures on p-adic L-functions, Ann. Math. Studies 74, Princeton (1972).
KUBERT, D., LANG, S., The index of Stickelberger ideals of order 2 and cuspidal class numbers, Math. Ann. 237(1978), 213–232.
KUBOTA, T., LEOPOLDT, H., Eine p-adische Theorie der zetawerte, Crelle 213(1964), 328–339.
MAZUR, B., Rational isogenies of prime degree, Inventiones Math. 44(1978), 129–162.
MAZUR, B., WILES, A., Class fields of abelian extensions of ϕ, (to appear).
NORTHCOTT, D., Finite Free Resolutions, Cambridge Tracts 71, Cambridge, 1976.
RIBET, K., A modular construction of unramified p-extensions of ϕ(μp), Inventiones Math. 34(1976), 151–162.
SERRE, J.-P., Classes des corps cyclotomiques, Séminaire Bourbaki, exp. 174, (1958/59).
SERRE, J.-P., Formes modulaires et fonctions zêta p-adiques, in Springer L. N. 350(1973).
SHIMURA, G., Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan 11, Iwanami Shoten and Princeton (1971).
SOULÉ, C., K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Inventiones Math. 55(1979), 251–295.
TATE, J., p-divisible groups, in Proceedings of a Conference on Local Fields, Springer (1967), 158–183.
WAGSTAFF, S., The irregular primes to 125000, Math. Comp. 32(1978), 583–591.
WILES, A., Modular curves and the class group of ϕ(ζp), Inventiones Math. 58(1980), 1–35.
LANGLANDS, R., Modular forms and ℓ-adic representations, in Springer L. N. 349(1973).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 N. Bourbaki
About this paper
Cite this paper
Coates, J. (1981). The work of Mazur and Wiles on cyclotomic fields. In: Séminaire Bourbaki vol. 1980/81 Exposés 561–578. Lecture Notes in Mathematics, vol 901. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0097200
Download citation
DOI: https://doi.org/10.1007/BFb0097200
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11176-4
Online ISBN: 978-3-540-38956-9
eBook Packages: Springer Book Archive