On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields

• Autorzy: Jonathan W. Sands
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 65
• Numer: 3
• Strony: 243-248

Daty

wydano

1993

otrzymano

1992-11-25

Twórcy

autor

Jonathan W. Sands

• Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05405, U.S.A.

Bibliografia

• [1] D. S. Dummit, D. Ford, H. Kisilevsky and J. W. Sands, Computation of Iwasawa lambda invariants for imaginary quadratic fields, J. Number Theory 37 (1991), 100-121.
• [2] L. J. Federer and B. H. Gross (Appendix by W. Sinnott), Regulators and Iwasawa modules, Invent. Math. 62 (1981), 443-457.
• [3] B. Ferrero and L. Washington, The Iwasawa invariant μₚ vanishes for abelian number fields, Ann. of Math. 109 (1979), 377-395.
• [4] R. Gold, The nontriviality of certain $ℤ_l$-extensions, J. Number Theory 6 (1974), 269-273.
• [5] K. Horie, A note on basic Iwasawa λ-invariants of imaginary quadratic fields, Invent. Math. 88 (1987), 31-38.
• [6] N. Jochnowitz, A p-adic conjecture about derivatives of L-series attached to modular forms, to appear.
• [7] Y. Yamamoto, On unramified Galois extensions of quadratic number fields, Osaka J. Math. 7 (1970), 57-76.