Number Theory - Structures, Examples And Problems

This volume marks the 20 anniversary of the New York Number Theory Seminar (NYNTS) and is the seventh in this series of books. For 20 years the NYNTS has tried to present the broad spectrum of number theory and related fields of mathematics, from physics to geometry to computer science. Mathematics, like other sciences, is a mafia-run enterprise, where the local mafias represent currently fashionable fields of research, almost always important, but never nearly as important as the reigning dons believe. We have always tried to invite not only Fields medallists and established mathematicians, but also younger and relatively unknown researchers, whose theorems are significant and whose work might become the next big thing in number theory.