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
Szemer´ edi, On sets of integers containing nokelements in arithmetic progression,Acta Arith.27(1975), 199–245
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Preliminary book manuscript presenting standard univariate real analysis topics across 14 chapters from real numbers and limits to integrals and applications, with exercise solutions.
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Fractal transference principle for continued fractions of Laurent series
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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Univariate Real Analysis
Preliminary book manuscript presenting standard univariate real analysis topics across 14 chapters from real numbers and limits to integrals and applications, with exercise solutions.