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Farey recursive
functions
Eric Chesebro, Cory Emlen, Kenton Ke, Denise LaFontaine, Kelly McKinnie and Catherine Rigby
Vol. 14 (2021), No. 3, 439–461
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Abstract |
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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. |
Keywords
recursion, Farey graph, 2-bridge link, 2-bridge knot
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Mathematical Subject Classification
Primary: 57M50
Secondary: 05A10
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Milestones
Received: 9 September 2020
Revised: 7 January 2021
Accepted: 23 January 2021
Published: 17 July 2021
Communicated by Colin Adams
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Authors |
| Eric Chesebro | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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| Cory Emlen | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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| Kenton Ke | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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| Denise LaFontaine | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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| Kelly McKinnie | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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| Catherine Rigby | |
| Department of Mathematical
Sciences University of Montana Missoula, MT United States |
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