CRM Proceedings & Lecture Notes 2004; 303 pp; softcover Volume: 36 ISBN10: 0821833316 ISBN13: 9780821833315 List Price: US$109 Member Price: US$87.20 Order Code: CRMP/36
 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. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  M. J. Bertin  Mesure de Mahler et régulateur elliptique: Preuve de deux relations exotiques
 A. Besser  The \(p\)adic height pairings of ColemanGross and of Nekovář
 J. M. Borwein and K.K. S. Choi  Dirichlet series for squares of sums of squares: A summary
 D. Burns  Equivariant Whitehead torsion and refined Euler characteristics
 A. C. Cojocaru  Questions about the reductions modulo primes of an elliptic curve
 C. Consani and M. Marcolli  New perspectives in Arakelov geometry
 H. Darmon  A fourteenth lecture on Fermat's last theorem
 W. Duke  Number fields with large class group
 S. J. Gurak  Period polynomials for \(\mathbb{F}_q\) of fixed small degree
 J. Hanke  Some recent results about (ternary) quadratic forms
 L. Jones  An extension of a theorem of D. H. Lehmer
 S.i. Katayama, C. Levesque, and T. Nakahara  On a family of real bicyclic biquadratic fields
 C. Khare  Belyi parametrisations of elliptic curves and congruence defects
 H. H. Kim  An application of exterior square functoriality of \(GL_4\); Asai lift
 M. Laurent  Totally real integral points on a plane algebraic curve
 L. Murata and C. Pomerance  On the largest prime factor of a Mersenne number
 M. R. Murty and S. Sumner  On the \(p\)adic series \(\sum_{n=1}^{\infty} n^k\cdot n!\)
 K. Ono  Hecke operators and the \(q\)expansion of modular forms
 D. P. Roberts  An ABC construction of number fields
 D. Roy  Diophantine approximation in small degree
 L. Smithline  Compact operators with rational generation
 V. Talamanca  The canonical height of a finite étale \(K\)algebra
