Joshua Im

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2026

Product and Quotient Set Dominance in Finite Groups

Yuval Amit, Lucas Chen, Christopher Housholder +5

A classic problem in additive number theory asks whether a given subset of integers has more sums or differences. This inquiry naturally extends to finite groups, where one compare…

math.NT2026

On the Existence of Hyperelliptic Curves over $Q (T)$ with Certain Jacobian Ranks

Lucas Chen, Joshua Im, Steven J. Miller +1

Let $y^{2} = f (x, T)$ be a hyperelliptic curve of genus $g \geq 1$ , defined over $Q (T)$ . We prove the existence of infinitely many imaginary hyperelliptic curves with a fixed…

Product and Quotient Set Dominance in Finite Groups

On the Existence of Hyperelliptic Curves over Q(T) with Certain Jacobian Ranks

On the Existence of Hyperelliptic Curves over $Q (T)$ with Certain Jacobian Ranks