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Strengthened Putnam 2009

Source: BMO Shortlist 2022, A6

May 13, 2023
algebrafunctional equationgeometry

Problem Statement

Determine all functions f:R2ā†’Rf : \mathbb{R}^2 \to\mathbb {R} for which f(A)+f(B)+f(C)+f(D)=0,f(A)+f(B)+f(C)+f(D)=0,whenever A,B,C,DA,B,C,D are the vertices of a square with side-length one.
Ilir Snopce
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