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.
Citation
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
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