$B$-orderings for all ideals $B$ of Dedekind domains and generalized factorials

Jeffrey C. Lagarias, Wijit Yangjit

This paper extends Bhargava's theory of $\mathfrak{p}$-orderings of subsets $S$ of a Dedekind ring $R$ valid for prime ideals $\mathfrak{p}$ in $R$. Bhargava's theory defines for i…