3 papers
math.SP2025
Pascal's Matrix, Point Counting on Elliptic Curves and Prolate Spheroidal Functions
W. Riley Casper
The eigenvectors of the symmetric Pascal matrix are analogs of prolate spheroidal wave functions in the discrete setting. The generating functions of the…
cs.CV2025
Reconstructing Rational Functions on Finite Abelian Groups with Higher Autocorrelations
W. Riley Casper, Bobby Orozco
The higher-order autocorrelations of integer-valued or rational-valued functions on finite Abelian groups appear naturally in X-ray crystallography, and have applications in comput…
math.CO2024
Disconnected Cliques in Derangement Graphs
Sara Anderson, W. Riley Casper, Sam Fleyshman +1
We obtain a correspondence between pairs of orthogonal Latin squares and pairs of disconnected maximal cliques in the derangement graph with symbols. Motivated by m…