S. Crook

activity

20142021

most citedFixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2021

Gaussian Happy Numbers

Breeanne Baker Swart, Susan Crook, Helen G. Grundman +1

This paper extends the concept of a $B$ -happy number, for $B \geq 2$ , from the rational integers, $Z$ , to the Gaussian integers, $Z [i]$ . We investigate the fixed…

math.NT2019★ 1 cited

Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

Breeanne Baker Swart, Susan Crook, Helen G. Grundman +3

An augmented generalized happy function $S_{[c, b]}$ maps a positive integer to the sum of the squares of its base $b$ digits plus $c$ . For $b \geq 2$ and $k \in Z^{+}$ , a $k$ …

math.NT2016

Fixed Points of Augmented Generalized Happy Functions

Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4

An augmented generalized happy function $S_{[c, b]}$ maps a positive integer to the sum of the squares of its base $b$ digits plus $c$ . In this paper, we study various properties of…

math.NT2014

Augmented generalized happy functions

Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4

An augmented happy function, $S_{[c, b]}$ maps a positive integer to the sum of the squares of its base- $b$ digits and a non-negative integer $c$ . A positive integer $u$ is in a cyc…