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math.NT2025
Fractional Iterates and Oscillatory Convergence
Steven Finch
The simple continued fractions for the Golden & Silver means are well-known. It is astonishing that, as far as we know, no one has published half-iterates (let alone quarter-iterat…
math.NT2024
Iterated Radical Expansions and Convergence
Steven Finch
We treat three recurrences involving square roots, the first of which arises from an infinite simple radical expansion for the Golden mean, whose precise convergence rate was made…