Erdős problem 975 · problems.science

For an irreducible polynomial $f \in \mathbb{Z}[x]$ with $f(n) \ge 1$ for sufficiently large $n$ , does there exists a constant $c = c(f) > 0$ such that $\sum_{n \le x} \tau(f(n)) \approx c \cdot x \log x$ ?

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6 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

975.lean

Retained formal statement3 of 6

Asymptotics for Erdos975Sum with $f(X) = X^2 + 1$ .

FormalConjectures/ErdosProblems/975.leanErdos975.erdos_975.variants.n2_plus_12 linesExact file

1∃ c > 0,2  Filter.Tendsto (fun x => Erdos975.Erdos975Sum (Polynomial.X ^ 2 + 1) x / (x * Real.log x)) Filter.atTop (nhds c)

SolvedStatement only, no proof

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