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2021 Farey recursive functions
Eric Chesebro, Cory Emlen, Kenton Ke, Denise LaFontaine, Kelly McKinnie, Catherine Rigby
Involve 14(3): 439-461 (2021). DOI: 10.2140/involve.2021.14.439

Abstract

We introduce Farey recursive functions and investigate their basic properties. Farey recursive functions are a special type of recursive function from the rationals to a commutative ring. The recursion of these functions is organized by the Farey graph. They arise naturally in the study of 2-bridge knots and links.

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Eric Chesebro. Cory Emlen. Kenton Ke. Denise LaFontaine. Kelly McKinnie. Catherine Rigby. "Farey recursive functions." Involve 14 (3) 439 - 461, 2021. https://doi.org/10.2140/involve.2021.14.439

Information

Received: 9 September 2020; Accepted: 23 January 2021; Published: 2021
First available in Project Euclid: 30 July 2021

Digital Object Identifier: 10.2140/involve.2021.14.439

Subjects:
Primary: 57M50
Secondary: 05A10

Keywords: 2-bridge knot , 2-bridge link , Farey graph , recursion

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2021
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