Problem A. 499. (January 2010)
A. 499. Prove that there exist positive constants c and n0 with the following property. If A is a finite set of integers, |A|=n>n0, then
|A-A|-|A+A|n2-cn8/5.
Miklós Schweitzer Memorial Competition, 2009
(5 pont)
Deadline expired on February 10, 2010.
Statistics:
2 students sent a solution. 5 points: Nagy 235 János, Nagy 648 Donát.
Problems in Mathematics of KöMaL, January 2010