Letp be an odd prime number. The object of this paper is to show that the zeroes of the p-
adic L-functions of Kubota-Leopoldt are equal to the eigenvalues of certain" arithmetically …

Kummer's work on cyclotomic fields paved the way for the development of algebraic number
theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However …

On conjectures of Sharifi Page 1 On conjectures of Sharifi Takako Fukaya and Kazuya Kato
Abstract R. Sharifi formulated remarkable conjectures which relate the arithmetic of cyclotomic …

The topics that we will discuss have their origin in Mazur's synthesis of the theory of elliptic
curves and Iwasawa's theory of Zlp-extensions in the early 1970s. We first recall some …

On the Equivariant Tamagawa number conjecture for Tate motives Page 1 DOI: 10.1007/s00222-003-0291-x
Invent. math. 153, 303–359 (2003) On the Equivariant Tamagawa number conjecture for …

Let F be a finite extension of Q. Let p be a prime number. Suppose that F 00 is a Galois
extension of F and that r= Gal (F 00/F) is isomorphic to Zp, the additive group of p-adic …

The purpose of the paper is to extend and refine earlier results of the author on
nonvanishing of the L-functions associated to modular forms in the anticyclotomic tower of …

Let k be an algebraic number field of finite degree over Q. A 71p-extension K/k is a Galois
extension with Galois group isomorphic to the additive group Zp of padic integers. For any k …

The aim of this paper is to discuss variants for elliptic curves of some deep conjectures of
classical cyclotomic Iwasawa theory. Let F be a finite extension of Q, p an odd prime …

Let p be an odd prime and let y be a primitive, even Dirichlet character with values in an
algebraic closure 42, of the field Q, of p-adic numbers. The main result of this paper is that …