5 papers
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…
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…
Benchmarking the accuracy of superconducting pair-pair correlations within Constrained Path Quantum Monte Carlo
Jodie Roberts, Beau A. Thompson, R. Torsten Clay
Ground state properties of the Hubbard model are of fundamental importance to understand the mechanism of unconventional superconductivity in the high-T_c cuprates and other materi…
VC-dimension of subsets of Hamming graphs
Christopher Housholder, Layna Mangiapanello, Steven Senger
Following recent work on the VC-dimension of subsets of various pseudorandom graphs, we study the VC-dimension of Hamming graphs, which have proved somewhat resistant to the standa…
Bounds on distinct and repeated dot product trees
Aaron Autry, Slade Gunter, Christopher Housholder +1
We study questions inspired by Erd\H os' celebrated distance problems with dot products in lieu of distances, and for more than a single pair of points. In particular, we study poi…