Papers:

Some of the PDF's below are formatted differently from the journal article.


1.  The triplication formula for Gauss sums (with Dennis Stanton), Aequationes Math., 30 (1986), 134-141.  pdf

2.  A character sum evaluation and Gaussian hypergeometric series (with Dennis Stanton), J. Number Theory, 23 (1986), 136-148.  pdf

3.  Hypergeometric functions over finite fields, Transactions of the AMS, 301 (1987), 77-101.  pdf

4.  Lagrange inversion over finite fields, Pacific J. Math., 130 (1987), 313- 325.  pdf

5.  Bijections related to statistics on words, Discrete Math., 68 (1988), 15-29.  pdf

6.  The greedy match in Young's lattice, Order, 6 (1990), 351-366.  pdf

7.  On a conjecture of Krammer, Journal of Combinatorial Theory, Series A, 56 (1991), 309-311.  pdf

8.  Polynomials with Positive Coefficients whose Zeros have Modulus One (with Ron Evans), SIAM Journal of Math. Anal., 22 (1991), 1173-1182.  pdf

9.  Linearized Polynomials and Permutation Polynomials of Finite Fields (with Ronald Evans and Harald Niederreiter), Michigan J. Math., 39 (1992), 405-413.  pdf

10.  Hypergeometric functions over finite fields and representations of SL(2,q), Rocky Mountain J. of Math., 23 (1993), 547-568.  pdf

11.  Polynomial factorizations and character sum identities, Lecture Notes in Pure and Applied Mathematics, 141 (1993), 87-103. (Conference proceedings)  pdf

12.  Principal ideal domains are almost Euclidean, American Math. Monthly, 104 (1997), 154-156.  pdf

13.  The Burgstahler Coincidence, The Fibonacci Quarterly, 40 (2002), 194-202.  pdf

14.  Some Comments on Baillie-PSW Pseudoprimes (with Z. Chen), The Fibonacci Quarterly, 41 (2003), 334-344.  pdf

15.  The unboundedness of a family of difference equations over the integers, The Fibonacci Quarterly, 46/47 (2008/09) 146-152.  pdf

16.  Clausen’s Theorem and Hypergeometric Functions over Finite Fields (with Ron Evans), Finite Fields and Their Applications, 15 (2009), 97-109.  pdf

17.  Evaluations of Hypergeometric Functions over Finite Fields (with Ron Evans), Hiroshima J. Math, 39 (2009), 217-235.  pdf

18.  Periodic Solutions to Some Difference Equations over the Integers (with Katherine Niedzielski), Difference Equations and Their Applications, 16 (2010), 321-346.  pdf

19.  On the limiting structure of some central binomial evaluations, Missouri Journal of Mathematical Sciences, 25 (2013), 2-14.  pdf

20.  Traces of Matrix Products, Electronic Journal of Linear Algebra 27 (2014), 716-734.  pdf

21.  A Quadratic Hypergeometric 2F1 Transformation over Finite Fields (with Ron Evans), to appear, Proceedings of the AMS.  pdf


Preprints:

22.  Lucas Sequences and Traces of Matrix Products, submitted December, 2015.  pdf

23.  Some mixed character sum identities of Katz II (with Ron Evans), submitted September, 2016.  pdf

24.  A generalization of continued fractions(with Jesse Schmeig), submitted September, 2016.  pdf