MathDB

A2

Part of 2018 Pan-African Shortlist

Problems(1)

2018 PAMO Shortlist: Bivariate polynomial vanishes at floor function inputs

Source: 2018 Pan-African Shortlist - A2

5/5/2019
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.
algebrapolynomialfloor functionfunction