Containing both historical survey and original research contributions, this is the first of three volumes presenting the talks from the May 2000 conference given by mathematicians from 30 countries. This volume contains 25 presentations, covering such topics as small fractional parts of quadratic forms, cyclomotic points on curves, arbitrarily tight bounds on the distribution of smooth integers, theta functions and singular torsion on elliptic curves, convolution operators and entire functions with simple zeros, Ramanujan's elliptic functions to alternative bases and approximations, and binary quadratic functions and the Eta function. Annotation c. Book News, Inc., Portland, OR (booknews.com)