323 citations
- Claremont Graduate UniversityUS16 papers
- Scripps CollegeUS10 papers
- Pomona CollegeUS9 papers
- Harvey Mudd CollegeUS7 papers
- Pitzer CollegeUS7 papers
- Georgia Institute of TechnologyUS4 papers
- Arizona State UniversityUS3 papers
- Jagiellonian UniversityPL3 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of California, Los AngelesUS3 papers
- University of ConnecticutUS3 papers
- University of South FloridaUS3 papers
8 papers · 1 filter
(t,s)-racks and their link invariants
Jessica Ceniceros, Sam Nelson
A (t,s)-rack is a rack structure defined on a module over the ring . We identify necessary and sufficient conditions for two -ra…
Bounds on generalized Frobenius numbers
Lenny Fukshansky, Achill Schürmann
Let and let be relatively prime integers. The Frobenius number of this -tuple is defined to be the largest positive integer that has no represen…
On well-rounded sublattices of the hexagonal lattice
Lenny Fukshansky, Daniel Moore, R. Andrew Ohana +1
We produce an explicit parameterization of well-rounded sublattices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameterization to s…
Minimal projections with respect to various norms
Asuman Guven Aksoy, Grzegorz Lewicki
We will show that a theorem of Rudin \cite{wr1}, \cite{wr}, permits us to determine minimal projections not only with respect to the operator norm but with respect to quasi-norms i…
Best Approximation in Numerical Radius
Asuman Guven Aksoy, Grzegorz Lewicki
Let be a reflexive Banach space. In this paper we give a necessary and sufficient condition for an operator to have the best approximation in numerical ra…
Bounds for solid angles of lattices of rank three
Lenny Fukshansky, Sinai Robins
We find sharp absolute constants and with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle…