20

Part of 2013 Baltic Way

Problems(1)

Algebraic Number Theory

Source: 2013 Baltic Way, Problem 20

Find all polynomials

f

with non-negative integer coefficients such that for all primes

p

and positive integers

n

there exist a prime

q

and a positive integer

m

f(p^n)=q^m

algebrapolynomiallimitfunctionnumber theory unsolvednumber theory