Twisted L-Functions and Monodromy Nicholas M. Katz Contents Introduction

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Date: 2001-11-05 12:32:04 Mathematics Abstract algebra Algebra Elliptic curves Analytic number theory Diophantine geometry Number theory Elliptic curve cryptography Elliptic curve Birch and Swinnerton-Dyer conjecture Rank of an elliptic curve Twists of curves		Twisted L-Functions and Monodromy Nicholas M. Katz Contents Introduction Add to Reading List Source URL: web.math.princeton.edu Download Document from Source Website File Size: 922,42 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
	The Weierstrass subgroup of a curve has maximal rank. Martine Girard, David R. Kohel and Christophe Ritzenthaler ∗†‡ Abstract We show that the Weierstrass points of the generic curve of genus g over an algebraical DocID: 1rdAs - View Document
	Twisted L-Functions and Monodromy Nicholas M. Katz Contents Introduction DocID: 1q0Wc - View Document
	REDUCTIONS OF POINTS ON ELLIPTIC CURVES AMIR AKBARY, DRAGOS GHIOCA, AND V. KUMAR MURTY Abstract. Let E be an elliptic curve defined over Q. Let Γ be a subgroup of rank r of the ¯ be the reduction group of rational poin DocID: 1jZLE - View Document
	On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3 Author(s): Joe P. Buhler, Benedict H. Gross, Don B. Zagier Source: Mathematics of Computation, Vol. 44, NoApr., 1985), ppPub DocID: 1cJoN - View Document