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An Analogue of Kida's Formula for the p-adic L-functions of Modular Elliptic Curves

  • Published:2000-09 Issue:1 Volume:84 Page:80-92
  • ISSN:0022-314X
  • Container-title:Journal of Number Theory
  • language:en
  • Short-container-title:Journal of Number Theory

Author:

Matsuno Kazuo

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference14 articles.

1. Sur les invariants “lambda” d'Iwasawa des corps abéliens;Gras,1978

2. Y. Hachimori, Computation of the invariants of p-adic L-functions attached to modular elliptic curves, in preparation.

3. An analogue of Kida's formula for the Selmer groups of elliptic curves;Hachimori;J. Algebraic Geom.,1999

4. l-extensions of CM-fields and cyclotomic invariants;Kida;J. Number Theory,1980

5. Some duality theorems for cyclotomic Γ-extensions of algebraic number fields of CM type;Kuz'min;Izv. Akad. Nauk. SSSR,1979

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Iwasawa invariants for elliptic curves over ℤ p -extensions and Kida's formula;Forum Mathematicum;2022-04-20

2. An analogue of Kida's formula for fine Selmer groups of elliptic curves;Journal of Number Theory;2021-05

3. Consequences of the functional equation of the $p$-adic $L$-function of an elliptic curve;Functiones et Approximatio Commentarii Mathematici;2019-03-01

4. The Structure of Selmer Groups of Elliptic Curves and Modular Symbols;Contributions in Mathematical and Computational Sciences;2014

5. ON THE 2-ADIC IWASAWA INVARIANTS OF ORDINARY ELLIPTIC CURVES;International Journal of Number Theory;2008-06
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