8 citations · 25 across the 15 of their papers we have counts for
17 papers
The area of the Mandelbrot set and Zagier's conjecture
Patrick F. Bray, Hieu D. Nguyen
We prove Zagier's conjecture regarding the 2-adic valuation of the coefficients that appear in Ewing and Schober's series formula for the area of the Mandelbrot set in th…
Partitions of Equiangular Tight Frames
James Rosado, Hieu D. Nguyen, Lei Cao
We present a new efficient algorithm to construct partitions of a special class of equiangular tight frames (ETFs) that satisfy the operator norm bound established by a theorem of…
A Digital Binomial Theorem for Sheffer Sequences
Toufik Mansour, Hieu D. Nguyen
We extend the digital binomial theorem to Sheffer polynomial sequences by demonstrating that their corresponding Sierpiński matrices satisfy a multiplication property that is equiv…
A -Digital Binomial Theorem
Toufik Mansour, Hieu D. Nguyen
We present a multivariable generalization of the digital binomial theorem from which a q-analog is derived as a special case.
Group Symmetries of Complementary Code Matrices
Brooke Logan, Hieu D. Nguyen
We characterize group symmetries of poly-phase complementary code matrices (CCMs), which we use to classify CCMs in terms of their equivalence classes. We also present classificati…
New Multiple Insertion-Deletion Correcting Codes for Non-Binary Alphabets
Tuan A. Le, Hieu D. Nguyen
We generalize Helberg's number-theoretic construction of multiple insertion-deletion correcting binary codes to non-binary alphabets and describe a linear decoding algorithm for co…