Mathematical and Physical Journal
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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|\len2-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