Higher Order Dualities over Global Function Fields and Weighted Möbius Sums over ${\mathbb{F}}_q[T]$

Prassanna Nand Jha, Jagannath Sahoo

Alladi's duality identities (1977) provide a fundamental relation between the smallest and the $k$-th largest prime factors of integers. In this paper, we establish Alladi-type dua…