MathDB
Putnam 2005 B1

Source:

December 5, 2005
Putnamalgebrapolynomialfloor functioninequalitiesfunctioncollege contests

Problem Statement

Find a nonzero polynomial P(x,y)P(x,y) such that P(⌊a⌋,⌊2a⌋)=0P(\lfloor a\rfloor,\lfloor 2a\rfloor)=0 for all real numbers a.a. (Note: ⌊v⌋\lfloor v\rfloor is the greatest integer less than or equal to v.v.)
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