Work

Fixed Points of Augmented Generalized Happy Functions

Year: 2016

Type: preprint

Abstract: 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 the fixed points of $S_{[c,b]}$; count the number of fixed points of $§_{[c,b]}$, for $b \geq 2$ and $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1611.02983

Authors: Swart, Breeanne Baker, Beck, Kristen A., Crook, Susan, Eubanks-Turner, Christina, Grundman, Helen G., Mei, May, Zack, Laurie

Language: English

Topic: Advanced Mathematical Theories

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Research Experiences for Undergraduate Faculty (REUF)

OpenAlex ID: W2952674248

Cites: 1

Cited by:

Related to: 20