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]
22 .  T. Cochrane & C. G. Pinner:  An improved Mordell type bound for exponential sums, P. Amer. Math. Soc.  133 (2005) 313-320.  [postscript]

23. T. Cochrane, J. Coffelt & C. G. Pinner: A further refinement of Mordell's bound on exponential sums,  Acta Arith. 116 (2005) 35-41.  [pdf]

24 T. Cochrane, J. Coffelt & C. G. Pinner: A system of simultaneous congruences arising from trinomial exponential sums,  J. Theorie des Nombres, Bordeaux. 18 (2006), 59-72.  [pdf]

25. T. Cochrane & C. G. Pinner: Using  Stepanov's method for exponential sums involving rational functions,     J. Number Theory  116 (2006) 270-292.  [postscript]

26. J. Cipra, T. Cochrane & C. G. Pinner,  Heilbronn's Conjecture on Waring's number mod p. J. Number Theory 125 (2007) 289-297. [pdf]

27. T. Cochrane & C. G. Pinner, Sum-Product estimates applied to Waring's problem mod p. Integers 8 (2008). [pdf]

28. J. Bourgain, T. Cochrane, J Paulhus & C. G. Pinner: Decimations of l-series and permutations
of even residues mod p. SIAM J Discrete Math. 23 (2009) 842-857. [pdf]

Papers to Appear



29.  J. Garza, M.I.M Ishak & C.G. Pinner & B. Wiles: On the products of heights summing to real numbers. (Acta Arith.) [pdf]

30.  T. Cochrane & C.G. Pinner: Explicit bounds on monomial and binomial exponential sums. (Quart. J. Math. Oxford). [pdf]

31. M.I.M Ishak, M. Mossinghoff, C.G. Pinner & B. Wiles: Lower bounds for heights in cyclotomic extensions (J. Number theory)  [pdf]




Submitted Papers



1.  J. Garza, M.I.M Ishak, M. Mossinghoff, C.G. Pinner & B. Wiles: Heights of roots of polynomials with odd coefficients (submitted J. Therie des Nombres, Bordeaux) [pdf]


Additional Preprints



Thesis

On the number of irreducible factors of a polynomial (University of Texas at Austin 1992)
[pdf]
 

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