David A. Cardon, Ph.D

Department of Mathematics, Brigham Young University


Orcid QR Code



Research Interests


Mathematical Papers

  1. David Cardon, Zeros of Fourier Coefficients of Eisenstein Series on the Metaplectic Groups- The Function Field Case, Stanford University Ph.D. Dissertation, 1996.

  2. David Cardon, A Riemann Hypothesis Condition for Metaplectic Eisenstein Series, J. Ramanujan Math. Soc., Vol. 12, No. 2, 1997 pp 203-238. (.dvi format) (.ps format)

  3. David Cardon, A Euclidean ring containing Z[\sqrt{14}] , C. R. Math. Rep. Acad. Sci. Canada Vol. 19 (1), 1997 pp. 28-32. (.dvi format) (.ps format)

  4. David Cardon and M. Ram Murty, Exponents of class groups of quadratic functions fields over finite fields, Canad. Math. Bull. Vol 44 (4), 2001, 398–407. (.dvi format) (.ps format) (.pdf format)

  5. David Cardon, Convolution operators and zeros of entire functions, Proc. Amer. Math. Soc. 130 (2002), no. 6, 1725–1734. (.dvi format) (.ps format) (.pdf format

  6. David Cardon and Xian-Jin Li, A Dirichlet series related to eigenvalues of the Laplacian for congruence subgroups. Number theory for the millennium, I (Urbana, IL, 2000), 153--181, A K Peters, Natick, MA, 2002. (.dvi format) (.ps format) (.pdf format)

  7. David Cardon and Pace Nielsen, Convolution operators and entire functions with simple zeros. Number theory for the millennium, I (Urbana, IL, 2000), 183--196, A K Peters, Natick, MA, 2002. (.dvi format) (.ps format) (.pdf format)

  8. David Cardon, Sums of Exponential Functions Having Only Real Zeros, Manuscripta Math. 113, 307-317 (2004). (.dvi format) (.ps format) (.pdf format)

  9. David Cardon, Fourier Transforms Having Only Real Zeros, Proc. Amer. Math. Soc. 133, 1349-1356 (2004)   (.dvi format) (.ps format) (.pdf format)

  10. David Cardon and Sharleen de Gaston, Differential Operators and Entire Functions with Simple Real Zeros, Journal of Mathematical Analysis and Applications, 301 (2005) 386-393. (pdf format)

  11. David Cardon and Sharleen de Gaston Roberts, An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials, Journal of Approximation Theory 138 (2006) 54-64. (.dvi format) (.pdf format).

  12. Steven Adams and David Cardon, Sums of entire functions having only real zeros, Proc. Amer. Math. Soc. 135 (2007), no. 12, 3857-3866 (pdf format) (dvi format) (ps format)

  13. David Cardon and Adam Rich, Turan inequalities and and subtraction free expressions, JIPAM. J. Inequal. Pure Appl. Math. 9 (2008), no. 4, Article 91 .

  14. David Cardon, Extended Laguerre inequalities and a criterion for real zeros, in Progress in Analysis and Its Applications, Proceeding of 7th International ISAAC Congress, Imperial College London, UK, 13018 July 2009  (pdf format)

  15. David Cardon, Matrices related to Dirichlet series, Journal of Number Theory 130 (2010), 27-39. (pdf format)

  16. David A. Cardon and Bradford Tuckfield, The Jordan canonical form for a class of zero-one matrices, Linear Algebra Appl. 435 (2011), no. 11, 2942-2954. (pdf format)

  17. David A. Cardon and Pace P. Nielsen, Nonnegative minors of minor matrices, Linear Algebra Appl. 436 (2012), no.7, 2187-2200.

  18. David A Cardon, Complex zero strip decreasing operators,  J. Math. Anal. Appl. (2015),  http://dx.doi.org/10.1016/j.jmaa.2015.01.026 Also Preprint on arXiv.org

  19. David A. Cardon, Tamas Forgacs, Andrzej Piotrowski, Evan Sorensen, and Jason White, On Zero-Sector Reducing Operators, J. Math. Anal. Appl. 468 (2018), no. 1, 480–490.
    Full text available directly from Springer — https://rdcu.be/cRWgl

  20. David A. Cardon, Evan Sorensen, and Jason White, Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations, Journal of Constructive Approximation (2022). https://doi.org/10.1007/s00365-022-09581-6

Non-mathematical Publications

Summer 1991 internship at Los Alamos National Laboratory - performed computer simulations in nuclear physics. This resulted in the following papers:

Mathematical Conferences and Seminars Attended

* means I gave a talk, ** means I was an invited speaker, ♦ means I was an organizer

Miscellaneous Personal Information