Mohamed Omar

activity

20102026

most citedSparse Neural Codes and Convexity

10 citations · 27 across the 20 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 2 cited

Lattice point visibility on power functions

Pamela E. Harris, Mohamed Omar

It is classically known that the proportion of lattice points visible from the origin via functions of the form $f (x) = n x$ with $n \in Q$ is $\frac{1}{ζ ( 2 )}$ where $ζ (s)$ is…

math.CO2017

Descent polynomials

Alexander Diaz-Lopez, Pamela E. Harris, Erik Insko +2

Let $n$ be a nonnegative integer and $I$ be a finite set of positive integers. In 1915, MacMahon proved that the number of permutations in the symmetric group $S_{n}$ with…

math.CO2017

Peaks on Graphs

Alexander Diaz-Lopez, Lucas Everham, Pamela E. Harris +3

Given a graph $G$ with $n$ vertices and a bijective labeling of the vertices using the integers $1, 2, \dots, n$ , we say $G$ has a peak at vertex $v$ if the degree of $v$ is greater…