Conference Proceedings, Canadian Mathematical Society 1995; 431 pp; softcover Volume: 15 ISBN10: 0821803123 ISBN13: 9780821803127 List Price: US$108 Member Price: US$86.40 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 hourlong talk on Fermat's last theoremwhich 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. Readership Research mathematicians. Table of Contents  A. Arenas  On the number of genera of positivedefinite 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 higherorder 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 polynomialtime algorithm for the ArtinWhaples approximation theorem
 K. S. Williams  Some refinements of an algorithm of Brillhart
 C. J. Williamson  On the algebraic construction of tridiagonal matrices with given characteristic polynomial
