- 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 Paris*Serie 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**+**Q**a,*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.