Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on proble

The goal of this monograph is to give an accessible introduction to nonstandard methods and their applications, with an emphasis on combinatorics and Ramsey the

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying th

Zeta and L-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the author's te

This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of