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Integer FE from St. Petersburg

Source: St. Petersburg MO 2001, 11th grade, P6

April 24, 2023
algebrafunctional equationfunction

Problem Statement

Find all functions f:Zā†’Zf:\mathbb{Z}\rightarrow\mathbb{Z} such that for any x,yx,y the following is true: f(x+y+f(y))=f(x)+2yf(x+y+f(y))=f(x)+2y [I]proposed by F. Petrov
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