2 problems

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Conjecture on s-free pairs with coprimality conditions
$s$ -free pair conjecture. There are a constant $c_s(q,a)\geq 0$ and a small constant $\delta>0$ such that
Conjectureopenanalytic-number-theory correlation-sums s-free-integersarXiv posted 3 days ago
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Coprime summatory conjecture for the s-th Möbius function
Coprime $s$ -free summatory conjecture. One has
Conjectureopenanalytic-number-theory multiplicative-functions s-free-integersarXiv posted 3 days ago

Conjecture on s-free pairs with coprimality conditions