So-Fan Zhu

activity

20212026

collaborators

3 papers

math.NT2026

Connected components of the ranges of twisted divisor functions on number fields

Sophie Zhu

Let $r \in C$ , let $K$ be a finite extension of $Q$ , let $I_{K}$ be the monoid of integral ideals in the ring of integers $O_{K}$ of $K$ , and let $χ$ be a Dir…

math.AC2022

On the primality and elasticity of algebraic valuations of cyclic free semirings

Nancy Jiang, Bangzheng Li, Sophie Zhu

A cancellative commutative monoid is atomic if every non-invertible element factors into irreducibles. Under certain mild conditions on a positive algebraic number $α$ , the additiv…

math.AC2021

Factorizations in evaluation monoids of Laurent semirings

Sophie Zhu

For a positive real number $α$ , let $N_{0} [α, α^{- 1}]$ be the semiring of all real numbers $f (α)$ for $f (x)$ lying in $N_{0} [x, x^{- 1}]$ , which is the semiring of all L…