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2018 PAMO Shortlist: Bivariate polynomial vanishes at floor function inputs

Source: 2018 Pan-African Shortlist - A2

May 5, 2019
algebrapolynomialfloor functionfunction

Problem Statement

Find a non-zero polynomial f(x,y)f(x, y) such that f(⌊3t⌋,⌊5t⌋)=0f(\lfloor 3t \rfloor, \lfloor 5t \rfloor) = 0 for all real numbers tt.
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