Alex Rice

activity

20112023

most citedComputation on Elliptic Curves with Complex Multiplication

19 citations · 37 across the 20 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.CO2019

Lattice Configurations Determining Few Distances

Vajresh Balaji, Olivia Edwards, Anne Marie Loftin +4

We begin by revisiting a paper of Erdős and Fishburn, which posed the following question: given $k \in N$ , what is the maximum number of points in a plane that determine at…

math.CO2019★ 1 cited

Sets in $R^{d}$ determining $k$ taxicab distances

Vajresh Balaji, Olivia Edwards, Anne Marie Loftin +4

We address an analog of a problem introduced by Erdős and Fishburn, itself an inverse formulation of the famous Erdős distance problem, in which the usual Euclidean distance is rep…

math.CA2019

Sets in $R^{d}$ with slow-decaying density that avoid an unbounded collection of distances

Alex Rice

For any $d \in N$ and any function $f : (0, \infty) \to [0, 1]$ with $f (R) \to 0$ as $R \to \infty$ , we construct a set $A \subseteq R^{d}$ and a sequence $R_{n} \to \infty$ …

Lattice Configurations Determining Few Distances

Sets in Rd determining k taxicab distances

Sets in Rd with slow-decaying density that avoid an unbounded collection of distances

Sets in $R^{d}$ determining $k$ taxicab distances

Sets in $R^{d}$ with slow-decaying density that avoid an unbounded collection of distances