Laurie Zack

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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.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…