Higher-order Alladi dualities are proved for global function fields and shown to govern the asymptotics of weighted Möbius sums restricted by smallest prime factor density.
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Higher Order Dualities over Global Function Fields and Weighted M\"{o}bius Sums over $\mathbb{F}_q{[T]}$
Higher-order Alladi dualities are proved for global function fields and shown to govern the asymptotics of weighted Möbius sums restricted by smallest prime factor density.