The Lifted Root Number Conjecture for some cyclic extensions of ℚ
Jürgen Ritter ; Alfred Weiss
Acta Arithmetica, Tome 89 (1999), p. 313-340 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207331
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     author = {J\"urgen Ritter and Alfred Weiss},
     title = {The Lifted Root Number Conjecture for some cyclic extensions of $\mathbb{Q}$},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {313-340},
     zbl = {0932.11071},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav90i4p313bwm}
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Jürgen Ritter; Alfred Weiss. The Lifted Root Number Conjecture for some cyclic extensions of ℚ. Acta Arithmetica, Tome 89 (1999) pp. 313-340. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav90i4p313bwm/

[000] [Bu] D. Burns, Equivariant Tamagawa numbers and Galois module theory, I, preprint, King's College London, 1997.

[001] [Cc] C. Chevalley, Sur la théorie du corps de classes dans les corps finis et les corps locaux, J. Fac. Sci. Tokyo 2 (1933), 365-476. | Zbl 59.0190.01

[002] [Ct] T. Chinburg, On the Galois structure of algebraic integers and S-units, Invent. Math. 74 (1983), 321-349. | Zbl 0564.12016

[003] [Fr] A. Fröhlich, Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields, Contemp. Math. 24, Amer. Math. Soc., 1983. | Zbl 0519.12001

[004] [GRW1] K. W. Gruenberg, J. Ritter and A. Weiss, A local approach to Chinburg's Root Number Conjecture, Proc. London Math. Soc. 79 (1999), 47-80. | Zbl 1041.11075

[005] [GRW2] K. W. Gruenberg, J. Ritter and A. Weiss, On Chinburg's Root Number Conjecture, Jahresber. Deutsch. Math.-Verein. 100 (1998), 36-44. | Zbl 0929.11054

[006] [La] S. Lang, Cyclotomic Fields I and II, Grad. Texts in Math. 121, Springer, New York, 1990.

[007] [RW] J. Ritter and A. Weiss, Cohomology of units and L-values at zero, J. Amer. Math. Soc. 10 (1997), 513-552. | Zbl 0885.11059

[008] [Ru] K. Rubin, The Main Conjecture, Appendix in [La].

[009] [Se] J. P. Serre, Corps Locaux, Hermann, Paris, 1968.

[010] [Sn] V. Snaith, Galois Module Structure, Fields Inst. Monogr. 2, Amer. Math. Soc., 1994.

[011] [Ta] J. Tate, Les Conjectures de Stark sur les Fonctions L d'Artin en s=0, Progr. Math. 47, Birkhäuser, 1984.

[012] [Wa] L. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.

[013] [We] A. Weiss, Multiplicative Galois Module Structure, Fields Inst. Monogr. 5, Amer. Math. Soc., 1996.