3 papers
math.PR2026
Random Fibonacci Tilings
Yuval Amit, Azmera Gebre, Christopher Housholder +4
The Fibonacci spiral is formed by a square-joining rule: begin with a unit square and attach squares whose side lengths follow the Fibonacci sequence; in the standard construction,…
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
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…