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VITA in pdf format

Articles

  1. On the divergence of the Rogers-Ramanujan continued fraction on the unit circle, (with James McLaughlin.) Submitted Jan 2003, Accepted for publ. April 2003 in Trans. Amer. Math. Soc.
  2. Resolution of some open problems concerning multiple zeta evaluations of arbitrary depth (with David Bradley.) Accepted for publ. Feb 2002 in Compositio Math.
  3. G-Continued fractions for basic hypergeometric functions II (with Geumlan Choi). To appear J. Math. Anal. and Appl.
  4. q-difference equations for basic hypergeometric functions (with Jaebum Sohn). Under revision for J. Reine Angew. Math.
  5. Some multi-set inclusions associated with shuffle convolutions and multiple zeta values (with David Bradley and Ji Hoon Ryoo). European J. Combin. 24(1), 121--127, 2003.
  6. The algebra and combinatorics of shuffles and multiple zeta values (with David Bradley). J. Comb. Th., A. 97(1): 43--61, 2002.
  7. Polynomial continued fractions (with James McLaughlin). Acta Arith. 103(4): 329--342, 2002.
  8. q-difference operators, orthogonal polynomials, and symmetric expansions. Memoirs of the Amer. Math. Soc. 159 No. 757, 2002.
  9. Multiple polylogarithms: a brief survey (with David Bradley). q-series with applications to combinatorics, number theory and physics, AMS Contemp. Math., 291: 71--92, 2001.
  10. Rational approximation to a new generalization of the Rogers-Ramanujan continued fraction (with Geumlan Choi). J. Number Theory, 85(2):158--171, 2000.
  11. G-continued fractions for basic hypergeometric functions (with Geumlan Choi). J. Math. Anal. Appl., 243(2):338--343, 2000.
  12. An easy proof of the Askey-Wilson integral and applications of the method. J. Math. Anal. Appl., 245(2):560--569, 2000.
  13. Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant (with Bruce C. Berndt). In Constructive, experimental, and nonlinear analysis (Limoges, 1999), pages 19--27. Amer. Math. Soc., Providence, RI, 2000.
  14. The Bailey transform and D. B. Sears (with George E. Andrews). Quaest. Math., 22(1):19--26, 1999.
  15. Partitions with numbers in their gaps. Acta Arith., 74(2):97--105, 1996.
  16. A general Heine transformation and symmetric polynomials of Rogers. In Analytic number theory, Vol. 1 (Allerton Park, IL, 1995), pages 163--171. Birkhauser Boston, Boston, MA, 1996.
  17. A full extension of the Rogers-Ramanujan continued fraction (with George E. Andrews). Proc. Amer. Math. Soc., 123(11):3343--3350, 1995. NOT AVAILABLE IN PDF at this time.
  18. Approximation of $\lfloor na+s\rfloor$ and the zero of $\{na+s\}$. J. Number Theory}, 50(1):128--144, 1995.
  19. Modified convergence for q-continued fractions defined by functional relations. In The Rademacher legacy to mathematics (University Park, PA, 1992), pages 155--165. Amer. Math. Soc., Providence, RI, 1994.
  20. A new generalization of Davison's theorem. Fibonacci Quart., 26(1):40--45, 1988. NOT AVAILABLE