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- W2950643957 abstract "Elliptic functions considered by Dixon in the nineteenth century and related to Fermat's cubic, $x^3+y^3=1$, lead to a new set of continued fraction expansions with sextic numerators and cubic denominators. The functions and the fractions are pregnant with interesting combinatorics, including a special Polya urn, a continuous-time branching process of the Yule type, as well as permutations satisfying various constraints that involve either parity of levels of elements or a repetitive pattern of order three. The combinatorial models are related to but different from models of elliptic functions earlier introduced by Viennot, Flajolet, Dumont, and Fran{c}on." @default.
- W2950643957 created "2019-06-27" @default.
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- W2950643957 date "2005-07-13" @default.
- W2950643957 modified "2023-09-27" @default.
- W2950643957 title "The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion" @default.
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