Additive Number Theory: Inverse Problems and the Geometry of Sumsets

by Melvyn B. Nathanson

Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been...

• Format: Hardcover
• Language: English
• ISBN: 0387946551
• ISBN13: 9780387946559
• Release Date: August 1996
• Publisher: Springer
• Length: 295 Pages
• Weight: 1.42 lbs.
• Dimensions: 0.8" x 6.3" x 9.5"