MathDB
Putnam 2009 B4

Source:

December 7, 2009
Putnamalgebrapolynomialvectorcalculusintegrationcomplex analysis

Problem Statement

Say that a polynomial with real coefficients in two variable, x,y, x,y, is balanced if the average value of the polynomial on each circle centered at the origin is 0. 0. The balanced polynomials of degree at most 2009 2009 form a vector space V V over R. \mathbb{R}. Find the dimension of V. V.
Back to ProblemsView on AoPS