IMO Shortlist 2012 problem A7
Dodao/la: arhiva3. studenoga 2013.
We say that a function
is a metapolynomial if, for some positive integer
, it can be represented in the form
are multivariate polynomials. Prove that the product of two metapolynomials is also a metapolynomial.
Izvor: Međunarodna matematička olimpijada, shortlist 2012