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.
Rosen.Number theory in function fields, volume 210 ofGraduate Texts in Mathematics
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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.