MathDB

Iran TST 2009-Day2-P1

Source:

May 11, 2009

algebrapolynomialnumber theory proposednumber theory

Problem Statement

Find all polynomials

f

with integer coefficient such that, for every prime

p

and natural numbers

u

and

v

with the condition:

p \mid uv - 1

we always have

p \mid f(u)f(v) - 1