In this paper we calculate the asymptotics of various moments of the central values of
Rankin-Selberg convolution L-functions of large level, thus generalizing the results and …

Algebra & Number Theory Page 1 Algebra & Number Theory mathematical sciences
publishers Volume 2 2008 No. 6 Specialization of linear systems from curves to graphs …

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 …

In this paper we solve the subconvexity problem for Rankin-Selberg L-functions where f and
g are two cuspidal automorphic forms over Q, g being fixed and f having large level and …

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 …

This article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic
rank $0 $, for elliptic curves over $\mathbb {Q} $ viewed over the fields cut out by certain self …