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2020 CVM - RE - P6

Source: CVM 2020 - Restated Exam - Problem 6

July 17, 2020
functionfunctional equationInteger

Problem Statement

<spanclass=′latex−bold′>Problem6+.</span><span class='latex-bold'>Problem 6+.</span> Find all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} such that for all integers x,yx,y holds f(x−f(xy))=f(x)f(1−y)f(x-f(xy)) = f(x)f(1-y) Proposed by Manuel Aguilera, Valle
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