
arXiv: 2008.13303
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.
Farey graph, 2-bridge link, Knot theory, Geometric Topology (math.GT), Mathematics - Geometric Topology, 2-bridge knot, recursion, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hyperbolic 3-manifolds, Factorials, binomial coefficients, combinatorial functions, 57M50 (Primary), 05A10 (secondary)
Farey graph, 2-bridge link, Knot theory, Geometric Topology (math.GT), Mathematics - Geometric Topology, 2-bridge knot, recursion, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hyperbolic 3-manifolds, Factorials, binomial coefficients, combinatorial functions, 57M50 (Primary), 05A10 (secondary)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
