A Characterization of Algebraic Number Fields with Cyclic Class Group of Prime Power Order.
A combinatorial class number formula.
A comparison of elliptic units in certain prime power conductor cases
The aim of this paper is to compare two modules of elliptic units, which arise in the study of elliptic curves E over quadratic imaginary fields K with complex multiplication by , good ordinary reduction above a split prime p and prime power conductor (over K). One of the modules is a special case of those modules of elliptic units studied by K. Rubin in his paper [Invent. Math. 103 (1991)] on the two-variable main conjecture (without p-adic L-functions), and the other module is a smaller one,...
A congruence relating to class number of complex quadratic fields
A construction of unramified Abelian l-extensions of regular Kummer extensions
A criterion for the class number of a pure quintic field to be divisible by 5.
A Cuspidal Class Number Formula for the Modular Curves X1(N).
A duality theorem in the multivariable Iwasawa theory of local fields.
A genus theory for quartic fields.
A Kummer criterion for imaginary quadratic fields
A Modular Construction of Unramified p-Extension of Q (...).
A New Characterization of the Integer 5906.
A note on basic Iwasawa ?-invariants of imaginary quadratic fields.
A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms
A note on circular distributions
A note on circular units in -extensions
In this note we consider projective limits of Sinnott and Washington groups of circular units in the cyclotomic -extension of an abelian field. A concrete example is given to show that these two limits do not coincide in general.
A Note on Cyclotomic Fields.
A note on free pro-p-extensions of algebraic number fields.
A note on Friedlander's paper "On the class numbers of certain quadratic extensions"
A note on Greenberg's cojecture for real abelian number fields.