Pub. Date:
American Mathematical Society
Number Theory

Number Theory

by Hershy Kisilevsky, Eyal Z. Goren


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Product Details

ISBN-13: 9780821833315
Publisher: American Mathematical Society
Publication date: 08/10/2004
Series: CRM Proceedings & Lecture Notes Series , #36
Pages: 330
Product dimensions: 70.00(w) x 97.50(h) x 5.00(d)

Table of Contents

List of Participantsvii
List of Speakersxvii
Mesure de Mahler et Regulateur Elliptique: Preuve de Deux Relations Exotiques1
The p-adic Height Pairings of Coleman-Gross and of Nekovar13
Dirichlet Series for Squares of Sums of Squares: A Summary27
Equivariant Whitehead Torsion and Refined Euler Characteristics35
Questions about the Reductions Modulo Primes of an Elliptic Curve61
New Perspectives in Arakelov Geometry81
A Fourteenth Lecture on Fermat's Last Theorem103
Number Fields with Large Class Group117
Period Polynomials for F[subscript q] of Fixed Small Degree127
Some Recent Results about (Ternary) Quadratic Forms147
An Extension of a Theorem of D. H. Lehmer165
On a Family of Real Bicyclic Biquadratic Fields177
Belyi Parametrisations of Elliptic Curves and Congruence Defects189
An Application of Exterior Square Functoriality of GL[subscript 4]; Asai Lift197
Totally Real Integral Points on a Plane Algebraic Curve203
On the Largest Prime Factor of a Mersenne Number209
On the p-Adic Series [Sigma superscript infinity subscript n=1] n[superscript k] - n!219
Hecke Operators and the q-Expansion of Modular Forms229
An ABC Construction of Number Fields237
Diophantine Approximation in Small Degree269
Compact Operators with Rational Generation287
The Canonical Height of a Finite Etale K-Algebra295

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