H. Grundman

activity

20172021

most citedSequences of Consecutive Happy Numbers in Negative Bases

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 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

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.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…