Softcover ISBN:  9780821833315 
Product Code:  CRMP/36 
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MAA Member Price:  $104.40 
AMS Member Price:  $92.80 
Electronic ISBN:  9781470439507 
Product Code:  CRMP/36.E 
List Price:  $109.00 
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Book DetailsCRM Proceedings & Lecture NotesVolume: 36; 2004; 303 ppMSC: Primary 11;
This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathématiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research and expository papers suitable for graduate students and researchers interested in number theory.
ReadershipGraduate students and research mathematicians interested in number theory.

Table of Contents

Chapters

Mesure de Mahler et régulateur elliptique: Preuve de deux relations exotiques

The $p$adic height pairings of ColemanGross and of Nekovář

Dirichlet series for squares of sums of squares: A summary

Equivariant Whitehead torsion and refined Euler characteristics

Questions about the reductions modulo primes of an elliptic curve

New perspectives in Arakelov geometry

A fourteenth lecture on Fermat’s last theorem

Number fields with large class group

Period polynomials for $\mathbb {F}_q$ of fixed small degree

Some recent results about (ternary) quadratic forms

An extension of a theorem of D. H. Lehmer

On a family of real bicyclic biquadratic fields

Belyi parametrisations of elliptic curves and congruence defects

An application of exterior square functoriality of $GL_4$; Asai lift

Totally real integral points on a plane algebraic curve

On the largest prime factor of a Mersenne number

On the $p$adic series $\sum _{n=1}^{\infty } n^k\cdot n!$

Hecke operators and the $q$expansion of modular forms

An ABC construction of number fields

Diophantine approximation in small degree

Compact operators with rational generation

The canonical height of a finite étale $K$algebra


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This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathématiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research and expository papers suitable for graduate students and researchers interested in number theory.
Graduate students and research mathematicians interested in number theory.

Chapters

Mesure de Mahler et régulateur elliptique: Preuve de deux relations exotiques

The $p$adic height pairings of ColemanGross and of Nekovář

Dirichlet series for squares of sums of squares: A summary

Equivariant Whitehead torsion and refined Euler characteristics

Questions about the reductions modulo primes of an elliptic curve

New perspectives in Arakelov geometry

A fourteenth lecture on Fermat’s last theorem

Number fields with large class group

Period polynomials for $\mathbb {F}_q$ of fixed small degree

Some recent results about (ternary) quadratic forms

An extension of a theorem of D. H. Lehmer

On a family of real bicyclic biquadratic fields

Belyi parametrisations of elliptic curves and congruence defects

An application of exterior square functoriality of $GL_4$; Asai lift

Totally real integral points on a plane algebraic curve

On the largest prime factor of a Mersenne number

On the $p$adic series $\sum _{n=1}^{\infty } n^k\cdot n!$

Hecke operators and the $q$expansion of modular forms

An ABC construction of number fields

Diophantine approximation in small degree

Compact operators with rational generation

The canonical height of a finite étale $K$algebra