2 papers
math.NT2026
Bounding The Number of Zeros Near the Central Point in Families of Cuspidal Newforms
Lucas Chen, Christopher Housholder, Joshua Khan +2
We study low-lying zeros in families of even holomorphic cuspidal newforms of fixed weight and prime level, with particular emphasis on the number of forms having a zero in a presc…
math.NT2026
On the Existence of Hyperelliptic Curves over with Certain Jacobian Ranks
Lucas Chen, Joshua Im, Steven J. Miller +1
Let be a hyperelliptic curve of genus , defined over . We prove the existence of infinitely many imaginary hyperelliptic curves with a fixed…