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Algebraic Number Theory

Source: 2013 Baltic Way, Problem 20

December 31, 2013
algebrapolynomiallimitfunctionnumber theory unsolvednumber theory

Problem Statement

Find all polynomials ff with non-negative integer coefficients such that for all primes pp and positive integers nn there exist a prime qq and a positive integer mm such that f(pn)=qmf(p^n)=q^m.
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