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Farey Recursive Functions

Published 31 Aug 2020 in math.GT and math.CO | (2008.13303v1)

Abstract: 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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