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Number Theory

Edited by: Hershy Kisilevsky Concordia University, Montreal, QC, Canada
Eyal Z. Goren McGill University, Montreal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Softcover ISBN: 978-0-8218-3331-5
Product Code: CRMP/36
List Price: $116.00 MAA Member Price:$104.40
AMS Member Price: $92.80 Electronic ISBN: 978-1-4704-3950-7 Product Code: CRMP/36.E List Price:$109.00
MAA Member Price: $98.10 AMS Member Price:$87.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $174.00 MAA Member Price:$156.60
AMS Member Price: $139.20 Click above image for expanded view Number Theory Edited by: Hershy Kisilevsky Concordia University, Montreal, QC, Canada Eyal Z. Goren McGill University, Montreal, QC, Canada A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Softcover ISBN: 978-0-8218-3331-5 Product Code: CRMP/36  List Price:$116.00 MAA Member Price: $104.40 AMS Member Price:$92.80
 Electronic ISBN: 978-1-4704-3950-7 Product Code: CRMP/36.E
 List Price: $109.00 MAA Member Price:$98.10 AMS Member Price: $87.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$174.00 MAA Member Price: $156.60 AMS Member Price:$139.20
• Book Details

CRM Proceedings & Lecture Notes
Volume: 362004; 303 pp
MSC: 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.

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 Coleman-Gross 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
• 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
• Request Review Copy
Volume: 362004; 303 pp
MSC: 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.

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 Coleman-Gross 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
• An application of exterior square functoriality of $GL_4$; Asai lift
• On the $p$-adic series $\sum _{n=1}^{\infty } n^k\cdot n!$
• Hecke operators and the $q$-expansion of modular forms
• The canonical height of a finite étale $K$-algebra