Papers › Farey Recursive Functions

Farey Recursive Functions

31 Aug 2020arXiv:2008.13303links table onlyarchive 2025-07-28

Eric Chesebro, Cory Emlen, Kenton Ke, Denise LaFontaine, Kelly McKinnie, Catherine Rigby

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This paper introduces Farey Recursive Functions and investigates 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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