Journal Publications
- 1.
Homogeneous Diophantine Approximation in S-integers,
Pacific J. Math., 152 (1992) 211-253.
- 2.
On Mahler's compound bodies, J. Austral. Math. Society (Series A), 55 (1993) 183-215.
- 3.
Badly approximable systems and inhomogeneous approximation over
number fields, "Number Theory with an Emphasis on the Markoff
Spectrum", A. Pollington and W. Moran, eds., New York, Marcel Dekker,
1993.
- 4. (with J.D. Vaaler),
On the decomposition of vectors over number
fields, J. reine angew. Math., 435 (1993) 197-219.
- 5. (with T. Struppeck),
On frequency distributions of partial
quotients of U-numbers, Mathematika, 40 (1993) 215-225.
- 6. Inhomogeneous inequalities over number fields, Illinois J. Math., 38 (1994) 452-470.
- 7. Transcendence and irrationality measures, "Proceedings of the
Seminar on the Theory of Numbers", University of Caen, France, 1994
[not refereed].
- 8. (with E. Dubois), Sur les quotients partiels de U-nombres dans
un corps de series formelles, Comptes Rendus de l'Acedemie des
Sciences ParisSerie I (1994) 421-426.
- 9. (with T. Struppeck), Does Summation 1/n! really converge? Infinite
series and p-adic analysis, The American Mathematical Monthly, 103 (1996) 565-577.
- 10.
On Liouville decompositions in local fields, Proceedings
of the A.M.S., 124 (1996) 3305-3310.
- 11. (with C.S. Kollett), On the structure of quadratic
irrationals associated with generalized Fibonacci and Lucas numbers,
Fibonacci Quarterly, 34 (1996) 200-212.
- 12. Uniformly approximable numbers and the uniform approximation
spectrum, Journal of Number Theory, 61 (1996) 194-208.
- 13. Small solutions to systems of linear congruences over number
fields, Rocky Mountain J. of Math.,Special volume in honor of
W.M. Schmidt's 60th birthday, 26 (1996) 875-888.
- 14. (with F. Morgan), Fermat's Last Theorem, the Four Color Conjecture, and Bill Clinton for April Fools' Day, The American Mathematical Monthly, 104 (1997) 246-255.
- 15. Mathematics Beyond the Ivy-Covered Hall: Can we Read the Writing on the Wall?, The Mathematical Intelligencer, 20 (1998) 1-2.
- 16. On Real Quadratic Number Fields and Simultaneous Diophantine Approximation,
Monatshefte Math., 128 (1999) 201-209.
- 17. (with M. Starbird), Pleasures vs. Problems, Notices of the American Mathematical Society, 47 February 2000.
- 18. (with J.M. Todd), On diophantine approximation below
the Lagrange constant, Fibonacci Quarterly, 38 (2000) 136-144.
- 19. On simultaneous diophantine approximation in the vector space Q+Qa, Journal of Number Theory, 82 (2000) 12-24.
- 20. (with A.J. van der Poorten), On periods of elements from real quadratic number fields,
Canadian Math. Soc. Conference Proceedings, 27 (2000) 35-43.
- 21. Diophantine Olympics and World Champions: Polynomials and primes down under, The American Mathematical Monthly, 107 (2000) 822-829.
- 22. (with M. Starbird), Abandoning Dead Ends: Embracing Lively Beginnings, MAA Focus, 9 (2000)
10-11.
- 23. On a question of Mordell and a spectrum of linear forms, J. of the London Math. Society, 62 (2000) 701-715.
- 24. (with M. Starbird), From Play to Power: Bringing Infinity to Humanities Students, Math. Ed. Reform Forum, 13 (2001) 1-5.
- 25. Diophantine inequalities and irrationality measures for certain transcendental numbers,
Indian J. of Pure and Applied Math., 32 (2001), 1591-1599.
- 26. (as Drew Aderburg), "Math Forum"--I couldn't keep my distance: A mathematical seduction, Math Horizons, February 2002, 12-15.
- 27. (with A. Folsom, A. Pekker, R. Roengpitya, J. Snyder), On a quantitative refinement of the Lagrange spectrum, Acta Arithmetica,
102 (2002), 55-82.
- 28. On Newton's method and rational approximations to quadratic irrationals, Canadian Mathematical Bulletin, 47 (2004), 12-16.
- 29. On sharp diophantine inequalities having only finitely many solutions, Proceedings
on Analytic Number Theory and Surrounding Areas, Research Institute of Mathematical
Sciences, Kyoto, Japan, 1384 (2004), 57-63.
- 30. A tail of two palindromes, The American Mathematical Monthly, 112 (2005) 311-321.
- 31. (with A. Pillai), On diophantine approximation along algebraic curves, Proceedings
of the A.M.S., 136 (2008) 11-19.
- 32. (with J. Gell-Redman, R. Kravitz, D. Walton, N. Yates), Shrinking the period lengths of continued fractions while still capturing convergents, Journal of Number Theory, 128 (2008) 144-153.
- 33. Arithmetic from an advanced perspective: An introduction to the adeles, Pro Mathematica, 24 (2010) 9-54.
- 34. (with D.C. Clyde, C.H. Colbert, G.H. Shin, Z. Wang),
A Generalization of a Theorem of Lekkerkerker to Ostrowski's Decomposition of Natural Numbers, Acta Arithmetica, 153 (2012) 217-249.
- 35. (with D.C. Clyde, C.H. Colbert, G.H. Shin, Z. Wang),
Canonical diophantine representations of natural numbers with respect to quadratic "bases", Journal of Number Theory, (to appear) 18 pp.
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