Our Work on Triangle Sequences

Here is a list of papers on Triangle Sequences, available to view online or download in postscript format.

• On periodic Sequences for algebraic numbers, J. of Number Theory, (2001), Vol. 88, pp. 86-103.
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• A Dual Approach to Triangle Sequences: A Multidimensional Continued Fraction Algorithm, by S. Assaf, L. Chen, T. Cheslack-Postava, B. Cooper, A. Diesl, T. Garrity, M. Lepinski and A. Schuyler.
  http://xxx.lanl.gov/abs/math.NT/0206105.
• Some Results Concerning Uniqueness of Triangle Sequences by Tegan Cheslack-Postava, Alex Diesl, Matthew Lepinski and Adam Schuyler.
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• A Bound on the Distance from Approximation Vectors to the Plane by Tegan Cheslack-Postava, Alex Diesl, Matthew Lepinski and Adam Schuyler.
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• Some Results Concerning Terminating Triangle Sequences by Tegan Cheslack-Postava, Alex Diesl, Matthew Lepinski and Adam Schuyler.
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This work on Triangle Sequences was done by the 1999 and the 2000 SMALL Number Theory groups at Williams College under the direction of Tom Garrity. The people in the summer of 1999 were Tegan Cheslack-Postava, Alex Diesl, Matthew Lepinski and Adam Schuyler. The 2000 group consisted of Sami Assaf, Li-Chung Chen and Ben Cooper. This work was supported by an REU grant from the National Science Foundation.

If you have any questions or comments about this page, please email Tom Garrity at tgarrity@williams.edu