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Number Theory
Edited by: Karl Dilcher
A co-publication of the AMS and Canadian Mathematical Society.
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1995; 431 pp; softcover
Volume: 15
ISBN-10: 0-8218-0312-3
ISBN-13: 978-0-8218-0312-7
List Price: US$114 Member Price: US$91.20
Order Code: CMSAMS/15

This book contains proceedings presented at the fourth Canadian Number Theory Association (CNTA) conference held at Dalhousie University in July 1994. The invited speakers focused on analytic, algebraic, and computational number theory. The contributed talks represented a wide variety of areas in number theory.

Paulo Ribenboim gave an hour-long talk on Fermat's last theorem--which was wide open at the time of the conference. His lecture was entitled Fermat's Last Theorem, Before June 23, 1993. This lecture was open to the public and attracted a large audience from outside the conference.

This book contains 34 written versions of the presentations. All papers were refereed.

Titles in this series are copublished with the Canadian Mathematical Society. Members of the Canadian Mathematical Society may order at the AMS member price.

Research mathematicians.

• A. Arenas -- On the number of genera of positive-definite integral ternary quadratic forms
• E. Bach -- Improved approximations for Euler products
• G. Bachman -- On exponential sums with multiplicative coefficients
• V. V. Batyrev and Yu. Tschinkel -- Rational points on toric varieties
• M. A. Bean -- The number of solutions of the Thue inequality
• M. A. Bennett -- Simultaneous approximation to pairs of algebraic numbers
• B. C. Berndt and P. Bialek -- Five formulas of Ramanujan arising from Eisenstein series
• A. Bremner -- On sums of three cubes
• L. Cangelmi -- Construction of polynomials with some Frobenius groups as Galois groups
• H. Cohn -- Minimality bounds for traces of Markoff matrices
• R. Cook -- Factors of odd perfect numbers
• T. Dokshitzer -- On Wilf's conjecture and generalizations
• A. G. Earnest -- An application of character sum inequalities to quadratic forms
• D. Goldfeld -- Special values of derivatives of $$L$$-functions
• Y. Goto -- On the orders of the Brauer groups of some weighted diagonal surfaces
• P. J. Grabner, P. Kiss, and R. F. Tichy -- Diophantine approximation in terms of linear recurrent sequences
• A. Granville -- On the number of solutions to the generalized Fermat equation
• H. S. Gunaratne -- Periodicity of Kummer congruences
• S. Gurak -- On higher-order pseudoprimes of Lehmer type
• O. Lecacheux -- Unités de corps de nombres et courbes de genre un et deux
• R. A. Mollin and L. C. Zhang -- A new criterion for the determination of class numbers of real quadratic fields
• V. K. Murty -- Bounded and finite generation of arithmetic groups
• M. R. Murty -- The analytic rank of $$J_0(N)(\mathbf Q)$$
• P. Ribenboim -- Fermat's last theorem, before June 23, 1993
• F. R. Villegas and D. Zagier -- Which primes are sums of two cubes?
• M. Rosen -- Average value of class numbers in cyclic extensions of the rational function field
• R. Rumely -- An intersection pairing for curves, with analytic contributions from nonarchimedean places
• Ph. Satgé -- Questions arithmétiques liées au théorème de Poncelet
• C. L. Stewart -- Thue equations and elliptic curves
• L. H. Walling -- Explicit Siegel theory for quadratic forms
• L. C. Washington -- Siegel zeros for $$2$$-adic $$L$$-functions
• J. Watrous -- A polynomial-time algorithm for the Artin-Whaples approximation theorem
• K. S. Williams -- Some refinements of an algorithm of Brillhart
• C. J. Williamson -- On the algebraic construction of tri-diagonal matrices with given characteristic polynomial