471 citations
- University of California, BerkeleyUS9 papers
- Tel Aviv UniversityIL6 papers
- Washington University in St. LouisUS4 papers
- Center for Astrophysics Harvard & SmithsonianUS3 papers
- Hungarian Astronomical AssociationHU3 papers
- Johns Hopkins UniversityUS3 papers
- Konkoly ObservatoryHU3 papers
- Space Telescope Science InstituteUS3 papers
- The University of Texas at AustinUS3 papers
- University of WashingtonUS3 papers
- Durham UniversityGB2 papers
- Eötvös Loránd UniversityHU2 papers
5 papers · 1 filter
Intergalactic Globular Clusters
Michael J. West, Patrick Cote, Henry C. Ferguson +5
We confirm and extend our previous detection of a population of intergalactic globular clusters in Abell 1185, and report the first discovery of an intergalactic globular cluster i…
The partial-fractions method for counting solutions to integral linear systems
Matthias Beck
We present a new tool to compute the number $ϕ_\A (\b)$ of integer solutions to the linear system $$ \x \geq 0 \qquad \A \x = \b $$ where the coefficients of $\A$ and $\b$ are inte…
Ideals of Adjacent Minors
Serkan Hosten, Seth Sullivant
We give a description of the minimal primes of the ideal generated by the 2 x 2 adjacent minors of a generic matrix. We also compute the complete prime decomposition of the ideal o…
Higher-dimensional Dedekind sums and their bounds arising from the discrete diagonal of the n-cube
Matthias Beck, Sinai Robins, Shelemyahu Zacks
Higher-dimensional Dedekind sums are defined as a generalization of a recent 1-dimensional probability model of Dilcher and Girstmair to a d-dimensional cube. The analysis of the f…
Computing the Integer Programming Gap
Serkan Hosten, Bernd Sturmfels
We determine the maximal gap between the optimal values of an integer program and its linear programming relaxation, where the matrix and cost function are fixed but the right hand…