Riemann-Hurwitz formula in basic ${\mathbb{Z}}_S$-extensions

 Access to full text

 Full (PDF)

1. [1] N. Childress, λ-invariants and Γ-transforms, Manuscripta Math. 64 (1989), 359-375. 
2. [2] E. Friedman, Ideal class groups in basic ${\mathbb{Z}}_{p}1\times ...\times {\mathbb{Z}}_{p}s$ extensions of abelian number fields, Invent. Math. 65 (1982), 425-440. Zbl0495.12007
3. [3] K. Iwasawa, On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc. 65 (1959), 183-226. 
4. [4] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields, Tohôku Math. J. (2) 33 (1981), 263-288. Zbl0468.12004
5. [5] Y. Kida, l-extensions of CM-fields and cyclotomic invariants, J. Number Theory 2 (1980), 519-528. Zbl0455.12007
6. [6] J. Satoh, The Iwasawa ${\lambda }_p$-invariants of Γ-transforms of the generating functions of the Bernoulli numbers, Japan. J. Math. 17 (1991), 165-174 . Zbl0739.11047
7. [7] W. Sinnott, On the μ-invariant of the Γ-transform of a rational function, Invent. Math. 75 (1984), 273-282. Zbl0531.12004
8. [8] W. Sinnott, On the p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17. Zbl0545.12011
9. [9] W. Sinnott, Γ-transforms of rational function measures on ${\mathbb{Z}}_S$, Invent. Math. 89 (1987), 139-157. Zbl0637.12004
10. [10] L. C. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.