On various restricted sumsets
Abstract
For finite subsets A1,...,An of a field, their sumset is given by a1+...+an: a1 in A1,...,an in An. In this paper we study various restricted sumsets of A1,...,An with restrictions of the following forms: ai-aj not in Sij, or alphaiai not=alphajaj, or ai+bi not=aj+bj (mod mij). Furthermore, we gain an insight into relations among recent results on this area obtained in quite different ways.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.