1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance

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Date: 2009-02-03 20:12:03 Mathematics Mathematical analysis Number theory Conjectures Analytic number theory Modular forms Riemann surfaces Millennium Prize Problems Riemann hypothesis Elliptic curve Langlands program L-function		1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance Add to Reading List Source URL: www.williamstein.org Download Document from Source Website File Size: 336,17 KB Share Document on Facebook

	Introduction The present work grew out of an entirely unsuccessful attempt to answer some basic questions about elliptic curves over $. Start with an elliptic curve E over $, say given by a Weierstrass equation E: y2 = 4 DocID: 1rrgL - View Document
	1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance DocID: 1rnS4 - View Document
	Canad. J. Math. Vol), 2005 pp. 328–337 On a Conjecture of Birch and Swinnerton-Dyer Wentang Kuo and M. Ram Murty Abstract. Let E/Q be an elliptic curve defined by the equation y 2 = x3 + ax + b. For a prime p, DocID: 1pA1N - View Document
	Canad. J. Math. Vol), 2005 pp. 328–337 On a Conjecture of Birch and Swinnerton-Dyer Wentang Kuo and M. Ram Murty Abstract. Let E/Q be an elliptic curve defined by the equation y 2 = x3 + ax + b. For a prime p, DocID: 1orjt - View Document
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