Published Papers

  1. C. G. Pinner, N. Saradha & A. J. van der Poorten : Some infinite products with interesting continued fraction expansions, J. Theorie des Nombres, Bordeaux 5 (1993), 187-216.

  2. C. G. Pinner & J. D. Vaaler:  The number of irreducible factors of a polynomial, Trans. Amer. Math. Soc. 339 (1993), 809-834.

  3. C. G. Pinner & J. D. Vaaler :  The number of irreducible factors of a polynomial, II, Acta Arith. 78 (1996), 125-142. [postscript]

  4. C. G. Pinner:  On sums of fractional parts {na+b}, J. Number Th. 65 (1997), 48-73. [postscript]

  5. P. Borwein & C. G. Pinner:  Polynomials with {0,+1,-1} coefficients and a root close to a given point, Canad. J. of Math. 49 (1997), 887-915. [postscript]

  6. C. G. Pinner:  Repeated values of the divisor function, Quart. J. Math. Oxford (2) 48 (1997), 499-502. [postscript]

  7. F. Beaucoup, P. Borwein, D. W. Boyd & C. G. Pinner:  Power series with restricted coefficients and a root on a given ray, Math. Comp. 67 (1998), 715-736. [postscript]

  8. D. Borwein, J. Borwein & C. G. Pinner:  Convergence of Madelung-like lattice sums, Trans. Amer. Math. Soc. 350 (1998), 3131-3167. [postscript]

  9. F. Beaucoup, P. Borwein, D. W. Boyd & C. G. Pinner:  Multiple roots of [-1,1] power series, J. London Math. Soc. 57 (1998), 135-147. [postscript]

  10. M. J. Mossinghoff, C. G. Pinner & J. D. Vaaler:  Perturbing polynomials with all their roots on the unit circle, Math. Comp. 67 (1998), 1707-1726. [postscript]

  11. C. G. Pinner:  Bounding the elliptic Mahler measure, Math. Proc. Camb. Philos. Soc. 124  (1998), 521--529. [postscript]

  12. G. R. Everest & C. G. Pinner:  Bounding the elliptic Mahler measure, II, J. London Math. Soc. 58 (1998), 1-8. [postscript]

  13. C. G. Pinner:  Double roots of [-1,1] power series and related matters, Math. Comp. 68 (1999), 1149-1178. [postscript]

  14. C. G. Pinner & J. D. Vaaler:  The number of irreducible factors of a polynomial, III. Number Theory in Progress, Vol. 1 (Zakopane-Koscielisko, 1997), 395-405, de Gruyter, Berlin, 1999. [postscript]

  15. C. G. Pinner:  On the one-sided boundedness of sums of fractional parts ({na+b}-1/2), J. Number Th. 81 (2000), 170-204. [postscript]

  16. C. G. Pinner & D. Wolczuk:  On the inhomogeneous Hall's ray of period one quadratics, Experimental Math. 10 (2001), 487-495. [postscript]

  17. C. G. Pinner:  More on inhomogeneous Diophantine approximation, J. Theorie des Nombres, Bordeaux. 13 (2001), 539-557. [postscript]
  18. P. B. Borwein, C. G. Pinner & I. E. Pritsker:  Monic integer Chebyshev problem, Math. Comp. 72 (2003), 1901-1916.  [postscript] 
  19. T. Cochrane, C. G. Pinner & J. Rosenhouse:  Bounds on exponential sums and the polynomial Waring problem mod p, London Math. Soc. 67(2003), 319-336.  [postscript] 
  20. T. Cochrane, C. G. Pinner & J. Rosenhouse:  Sparse polynomial exponential sums, Acta. Arith. 108 (2003), 37-52.  [postscript]
  21. T. Cochrane & C. G. Pinner:  Stepanov's method applied to binomial exponential sums, Quart. J. Math. Oxford 54 (2003), 243-255.  [postscript]



Papers to Appear


Submitted Papers


Additional Preprints


Christopher G. Pinner, Department of Mathematics, 138 Cardwell Hall, Manhattan, KS 66506. -- pinner@math.ksu.edu