149 citations · 319 across the 56 of their papers we have counts for
6 papers · 1 filter
Real complex functions
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
We survey a few classes of analytic functions on the disk that have real boundary values almost everywhere on the unit circle. We explore some of their properties, various decompos…
Spherical 2-designs and lattices from Abelian groups
Albrecht Boettcher, Simon Eisenbarth, Lenny Fukshansky +2
We consider lattices generated by finite Abelian groups. We prove that such a lattice is strongly eutactic, which means the normalized minimal vectors of the lattice form a spheric…
Visual properties of generalized Kloosterman sums
Paula Burkhardt, Alice Zhuo-Yu Chan, Gabriel Currier +3
For a positive integer and a subgroup of the unit group , the corresponding generalized Kloosterman sum is the function $K(a,b,m,Λ) = \sum_…
Lattices from Hermitian function fields
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
We consider the well-known Rosenbloom-Tsfasman function field lattices in the special case of Hermitian function fields. We show that in this case the resulting lattices are genera…
Gauss' hidden menagerie: from cyclotomy to supercharacters
Stephan Ramon Garcia, Trevor Hyde, Bob Lutz
Gaussian periods, when viewed appropriately, exhibit a dazzling and eclectic host of visual qualities. This brief survey reviews the historical context and summarizes our current k…
Partial orders on partial isometries
Stephan Ramon Garcia, Robert T. W. Martin, William T. Ross
This paper studies three natural pre-orders of increasing generality on the set of all completely non-unitary partial isometries with equal defect indices. We show that the problem…