CRM Proceedings & Lecture Notes 1999; 392 pp; softcover Volume: 19 ISBN10: 0821809644 ISBN13: 9780821809648 List Price: US$128 Member Price: US$102.40 Order Code: CRMP/19
 This book contains papers presented at the fifth Canadian Number Theory Association (CNTA) conference held at Carleton University (Ottawa, ON). The invited speakers focused on arithmetic algebraic geometry and elliptic curves, diophantine problems, analytic number theory, and algebraic and computational number theory. The contributed talks represented a wide variety of areas in number theory. David Boyd gave an hourlong talk on "Mahler's Measure and Elliptic Curves". This lecture was open to the public and attracted a large audience from outside the conference. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and research mathematicians working in number theory and related fields. Table of Contents  A. Baragar  Rational curves with zero self intersection on certain \(K\)3 surfaces
 B. C. Berndt and H. H. Chan  Notes on Ramanujan's singular moduli
 M.J. Bertin  The operator \(x +(1/x)2\) and the reciprocal integers
 F. Beukers  Integral points on cubic surfaces
 D. A. Buell  The last exhaustive computation of class groups of complex quadratic number fields
 K.K. Choi and J. D. Vaaler  Diophantine approximation in projective space
 R. J. Cook  Bounds for odd perfect numbers
 W. Duke  Automorphic \(L\)functions in level aspect
 R.M. ElkenbrachtHuizing, P. L. Montgomery, R. D. Silverman, R. K. Wackerbarth, and S. S. Wagstaff, Jr.  The number field sieve on many computers
 P. Erdős and M. R. Murty  On the order of \(a\) (mod \(p\))
 C. Friesen  A special case of CohenLenstra heuristics in function fields
 W. F. Galway  An asymptotic expansion of Ramanujan
 C. Greither  Improving Ramachandra's and Levesque's unit index
 S. Gurak  On the middle factor of the period polynomial for finite fields
 A. Ivić and C. Pomerance  On the distribution of champs
 J. W. Jones and D. P. Roberts  Sextic number fields with discriminant \((1)^j2^a3^b\)
 M. Kaneko  Traces of singular moduli and the Fourier coefficients of the elliptic modular function \(j(\tau)\)
 P. Kaplan  Problème d'Eisenstein pour le conducteur 3
 M. Langevin  Liens entre le théorème de Mason et la conjecture \((abc)\)
 X.J. Li  On the trace of Hecke operators for Maass forms
 S. Lindhurst  An analysis of Shanks's algorithm for computing square roots in finite fields
 M.C. Liu and T. Wang  On the equation \(a_1p_1 + a_2p_2 + a_3p_3 = b\) with prime variables in arithmetic progressions
 S. Louboutin and R. A. Mollin  Solutions to \(x^2  Dy^2 = Q\)
 K. Ono and K. Soundararajan  Integers represented by ternary quadratic forms
 P. L. Pacelli  Some uniformity results following from the Lang conjectures
 Y. N. Petridis  Fourier coefficients of cusp forms
 A. J. van der Poorten  Beer and continued fractions with periodic periods
 C. J. Smyth  An inequality for polynomials
 S. H. Son  Some integrals of theta functions in Ramanujan's lost notebook
 H. A. Verrill  Arithmetic of a certain CalabiYau threefold
 L. Ya. Vulakh  Diophantine approximation in Euclidean spaces
 M. Waldschmidt  Transcendance et indépendance algébrique de valeurs de fonctions modulaires
 S. Wong  On the rank of ideal class groups
 R. K. Guy  Conference problems session conducted by J. L. Selfridge
 P. Ribenboim  Homework!
