P. Harris

activity

20112023

most citedDiversity of Artists in Major U.S. Museums

68 citations · 203 across the 58 of their papers we have counts for

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9 papers · 1 filter

math.NT2020★ 7 cited

Generalized Lattice Point Visibility

Carolina Benedetti, Santiago Estupiñán, Pamela E. Harris

It is a well-known result that the proportion of lattice points visible from the origin is given by $\frac{1}{ζ ( 2 )}$ , where $ζ (s) = \sum_{n = 1}^{\infty} \frac{1}{n ^{s}}$ denotes the Rieman…

math.NT2019

Sequences of consecutive factoradic happy numbers

Joshua Carlson, Eva G. Goedhart, Pamela E. Harris

Given a positive integer $n$ , the factorial base representation of $n$ is given by $n = \sum_{i = 1}^{k} a_{i} \cdot i!$ , where $a_{k} \neq = 0$ and $0 \leq a_{i} \leq i$ for all $1 \leq i \leq k$ . For…

math.NT2018★ 6 cited

On the genus of a quotient of a numerical semigroup

Ayomikun Adeniran, Steve Butler, Colin Defant +6

We find a relation between the genus of a quotient of a numerical semigroup $S$ and the genus of $S$ itself. We use this identity to compute the genus of a quotient of $S$ when $S$ …

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.NT2017★ 19 cited

Lattice point visibility on generalized lines of sight

Edray Herber Goins, Pamela E. Harris, Bethany Kubik +1

For a fixed $b \in N = {1, 2, 3, \dots}$ we say that a point $(r, s)$ in the integer lattice $Z \times Z$ is $b$ -visible from the origin if it lies on the gra…

math.NT2017★ 2 cited

Sequences of Consecutive Happy Numbers in Negative Bases

Helen G. Grundman, Pamela E. Harris

For $b \leq - 2$ and $e \geq 2$ , let $S_{e, b} : Z \to Z_{\geq 0}$ be the function taking an integer to the sum of the $e$ -powers of the digits of its base $b$ expansion…