Erdős problem 1192 · problems.science

Does there exist, for all $r\geq 2$ , a basis $A$ of order $r$ (so that $f_r(n)>0$ for all large $n$ ) such that $\sum_{n\leq x}f_r(n)^2 \ll x$ for all $x$ ?

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7 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

1192.lean

Retained formal statement2 of 7

With an empty set, there are no valid $r$ -tuples for $r \geq 1$ .

FormalConjectures/ErdosProblems/1192.leanErdos1192.erdos_1192.f_r_empty1 lineExact file

1∀ (r n : ℕ), Erdos1192.f_r ∅ (r + 1) n = 0

TestStatement only, no proof

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