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A selection of the most accessible survey papers from the
Millennial Conference on Number Theory. Presented and compiled by a
group of international experts, these papers provide a current view
of the state of the art and an outlook into the future of number
theory research. This book serves as an inspiration to graduate
students and as a reference for research mathematicians.
Building on the tradition of an outstanding series of conferences
at the University of Illinois at Urbana-Champaign, the organizers
attracted an international group of scholars to open the new
Millennium with a conference that reviewed the current state of
number theory research and pointed to future directions in the
field. The conference was the largest general number theory
conference in recent history, featuring a total of 159 talks, with
the plenary lectures given by George Andrews, Jean Bourgain, Kevin
Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher
Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl
Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K.
Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams.
The Proceedings Volumes of the conference review some of the major
number theory achievements of this century and to chart some of the
directions in which the subject will be heading during the new
century. These volumes will serve as a useful reference to
researchers in the area and an introduction to topics of current
interest in number theory for a general audience in mathematics.
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