Titlebook: Combinatorial Number Theory and Additive Group Theory; Alfred Geroldinger,Imre Z. Ruzsa Textbook 2009 Birkh�user Basel 2009 Graph.Graph th

射手座

Jingoism

Addictive

NotationLet . and . be sets in a (mostly commutative) group. We will call the group operation addition and use additive notation. The . of these sets is .∈ .∈

Between

Cardinality inequalitiesLet . be sets in a group, |.|=., |.|=.. The cardinality of A+B can be anywhere between max(.) and .. Our aim is to understand the connection between this size and the structure of these sets.

DEVIL

Serenity

倾听

FIN

ExercisesThe next collection of exercises is deliberately vague. The number of points is my estimate for the difficulty. This naturally depends on expertise; some of them were told in the course; then naturally the difficulty turns to 0.

悲观

Firefly