Riemann-Hurwitz formula in basic $ℤ_S$-extensions

• Autorzy: Yi Ouyang , Fei Xu
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 1
• Strony: 1-10

Daty

wydano

1997

otrzymano

1995-05-16

poprawiono

1996-07-23

Twórcy

autor

Yi Ouyang

• Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China

autor

Fei Xu

• Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China

Bibliografia

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• [2] E. Friedman, Ideal class groups in basic $ℤ_p_1×...×ℤ_p_s$ extensions of abelian number fields, Invent. Math. 65 (1982), 425-440.
• [3] K. Iwasawa, On Γ-extensions of algebraic number fields, Bull. Amer. Math. Soc. 65 (1959), 183-226.
• [4] K. Iwasawa, Riemann-Hurwitz formula and p-adic Galois representations for number fields, Tohôku Math. J. (2) 33 (1981), 263-288.
• [5] Y. Kida, l-extensions of CM-fields and cyclotomic invariants, J. Number Theory 2 (1980), 519-528.
• [6] J. Satoh, The Iwasawa $λ_p$-invariants of Γ-transforms of the generating functions of the Bernoulli numbers, Japan. J. Math. 17 (1991), 165-174 .
• [7] W. Sinnott, On the μ-invariant of the Γ-transform of a rational function, Invent. Math. 75 (1984), 273-282.
• [8] W. Sinnott, On the p-adic L-functions and the Riemann-Hurwitz genus formula, Compositio Math. 53 (1984), 3-17.
• [9] W. Sinnott, Γ-transforms of rational function measures on $ℤ_S$, Invent. Math. 89 (1987), 139-157.
• [10] L. C. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.