Let E/Q be a modular elliptic curve of conductor N, and let p be a prime number. In [MTT],
Mazur, Tate and Teitelbaum formulate a p-adic analogue of the conjecture of Birch and …

The book surveys some recent developments in the arithmetic of modular elliptic curves. It
places a special emphasis on the construction of rational points on elliptic curves, the Birch …

This article describes a conjectural p-adic analytic construction of global points on (modular)
elliptic curves, points which are defined over the ring class fields of real quadratic fields. The …

Iwasawa's Main Conjecture for Elliptic Curves over Anticyclotomic Z_p-Extensions
Page 1 Annals of Mathematics, 162 (2005), 1-64 Iwasawa's Main Conjecture for elliptic …

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 E be a (modular!) elliptic curve over Q, of conductor N. Let K denote an imaginary
quadratic field of discriminant D, with (N, D)= 1. If p is a prime, then there exists a unique Zp …

Hida families and rational points on elliptic curves Page 1 DOI: 10.1007/s00222-007-0035-4
Invent. math. 168, 371–431 (2007) Hida families and rational points on elliptic curves Massimo …

We prove the μ-part of the main conjecture for modular forms along the anticyclotomic Zp-
extension of a quadratic imaginary field. Our proof consists of first giving an explicit formula …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

We study the algebraicity of Stark-Heegner points on a modular elliptic curve E. These
objects are p-adic points on E given by the values of certain p-adic integrals, but they are …