A SURVEY OF PROBLEMS AND RESULTS ON RESTRICTED SUMSETS
Zhi‐Wei Sun · 2007
Additive number theory is currently an active field related to combinatorics. In this paper we give a survey of problems and results concerning lower bounds for cardinalities of various restricted sumsets with elements in a field or an abelian group. 1. Erdős-Heilbronn conjecture and the polynomial method Let A = {a1,..., ak} and B = {b1,..., bl} be two finite subsets of Z with a1 < · · · < ak and b1 < · · · < bl. Observe that whence we see that the sumset