Recent Publications of Doug Hensley

• The number of steps in the Euclidean algorithm, Journal of Number Theory 49 (1994), 142-182.
• Note on a paper by Georg Rieger (to appear in Mathematische Nachrichten)
  Related plots: Pairs (x,y) with xy=1 mod 8192 and Pairs (x,y) with xy=1 mod prime 10007. The result is that these pairs are rather uniformly distributed.
• The distribution mod n of fractions with bounded partial quotients, Pacific Journal of Math 166 (1994), 43-54.
• A polynomial time algorithm for the Hausdorff dimension of a continued fraction Cantor set (to appear in J. of Number Theory)
  Appendix: Mathematica notebook implementation.
• The statistics of continued fractions for polynomials over a finite field, with Christian Friesen, (to appear in Proceedings AMS)
• The distribution of badly aproximable rationals and continuants with bounded digits II. J of Number Theory 34 (1990), 293-334.
  Related pictures of a "discrete fractal set": Pairs (a,b) for which all continued fraction partial quotients are 3 or less and More pairs with all continued fraction partial quotients 3 or less

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The graph of y=1/x mod 8192