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Fractal transference principle for continued fractions of Laurent series

math.DS · 2026-04-22 · unverdicted · novelty 7.0

For an infinite set S of polynomials over a finite field with growth density exponent alpha at least 1 and a positive relative upper density subset U of S, there exists a set E of distinct-digit continued fraction points from S with Hausdorff dimension 1/(2 alpha) whose digits recover the density of

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  • Fractal transference principle for continued fractions of Laurent series math.DS · 2026-04-22 · unverdicted · none · ref 3

    For an infinite set S of polynomials over a finite field with growth density exponent alpha at least 1 and a positive relative upper density subset U of S, there exists a set E of distinct-digit continued fraction points from S with Hausdorff dimension 1/(2 alpha) whose digits recover the density of