MathDB
Putnam 2008 B4

Source:

December 8, 2008
Putnamalgebrapolynomialmodular arithmeticfunctiongroup theorybinomial theorem

Problem Statement

Let p p be a prime number. Let h(x) h(x) be a polynomial with integer coefficients such that h(0),h(1),\dots, h(p^2\minus{}1) are distinct modulo p2. p^2. Show that h(0),h(1),\dots, h(p^3\minus{}1) are distinct modulo p3. p^3.
Back to ProblemsView on AoPS