Riemann-Hurwitz formula in basic S-extensions
Yi Ouyang ; Fei Xu
Acta Arithmetica, Tome 80 (1997), p. 1-10 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:207051
@article{bwmeta1.element.bwnjournal-article-aav81i1p1bwm,
     author = {Yi Ouyang and Fei Xu},
     title = {Riemann-Hurwitz formula in basic $$\mathbb{Z}$\_S$-extensions},
     journal = {Acta Arithmetica},
     volume = {80},
     year = {1997},
     pages = {1-10},
     zbl = {0873.11060},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav81i1p1bwm}
}
Yi Ouyang; Fei Xu. Riemann-Hurwitz formula in basic $ℤ_S$-extensions. Acta Arithmetica, Tome 80 (1997) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav81i1p1bwm/

[000] [1] N. Childress, λ-invariants and Γ-transforms, Manuscripta Math. 64 (1989), 359-375.

[001] [2] E. Friedman, Ideal class groups in basic p1×...×ps extensions of abelian number fields, Invent. Math. 65 (1982), 425-440. | Zbl 0495.12007

[002] [3] K. Iwasawa, On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc. 65 (1959), 183-226.

[003] [4] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields, Tohôku Math. J. (2) 33 (1981), 263-288. | Zbl 0468.12004

[004] [5] Y. Kida, l-extensions of CM-fields and cyclotomic invariants, J. Number Theory 2 (1980), 519-528. | Zbl 0455.12007

[005] [6] J. Satoh, The Iwasawa λp-invariants of Γ-transforms of the generating functions of the Bernoulli numbers, Japan. J. Math. 17 (1991), 165-174 . | Zbl 0739.11047

[006] [7] W. Sinnott, On the μ-invariant of the Γ-transform of a rational function, Invent. Math. 75 (1984), 273-282. | Zbl 0531.12004

[007] [8] W. Sinnott, On the p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17. | Zbl 0545.12011

[008] [9] W. Sinnott, Γ-transforms of rational function measures on S, Invent. Math. 89 (1987), 139-157. | Zbl 0637.12004

[009] [10] L. C. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.