Published Papers
- 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.
- C. G. Pinner & J. D.
Vaaler: The number of irreducible factors of a polynomial,
Trans. Amer. Math. Soc. 339 (1993), 809-834.
- C. G. Pinner & J. D.
Vaaler : The number of irreducible factors of a
polynomial, II, Acta Arith. 78
(1996), 125-142. [postscript]
- C. G. Pinner: On
sums of fractional parts {na+b}, J. Number Th. 65
(1997), 48-73. [postscript]
- 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]
- C. G. Pinner:
Repeated values of the divisor function, Quart. J. Math.
Oxford (2) 48 (1997), 499-502. [postscript]
- 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]
- D. Borwein, J. Borwein &
C. G. Pinner: Convergence of Madelung-like lattice sums,
Trans. Amer. Math. Soc. 350 (1998),
3131-3167. [postscript]
- 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]
- 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]
- C. G. Pinner:
Bounding the elliptic Mahler measure, Math. Proc. Camb.
Philos. Soc. 124 (1998),
521--529. [postscript]
- G. R. Everest & C. G.
Pinner: Bounding the elliptic Mahler measure, II,
J. London Math. Soc. 58 (1998), 1-8. [postscript]
- C. G. Pinner:
Double roots of [-1,1] power series and related matters, Math.
Comp. 68 (1999), 1149-1178. [postscript]
- 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]
- 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]
- C. G. Pinner & D.
Wolczuk: On the inhomogeneous Hall's ray of period one
quadratics, Experimental Math. 10
(2001), 487-495. [postscript]
- C. G. Pinner: More
on inhomogeneous Diophantine approximation, J. Theorie
des Nombres, Bordeaux. 13 (2001), 539-557. [postscript]
- P. B. Borwein, C. G. Pinner
& I. E. Pritsker: Monic integer Chebyshev problem,
Math. Comp. 72 (2003), 1901-1916. [postscript]
- 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]
- T. Cochrane, C. G. Pinner
& J. Rosenhouse: Sparse polynomial exponential sums,
Acta. Arith. 108 (2003), 37-52. [postscript]
- 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
- T. Cochrane & C. G.
Pinner: An improved Mordell type bound for exponential
sums, P. Amer. Math. Soc. [postscript]
Submitted Papers
- T. Cochrane & C. G.
Pinner: Using Stepanov's method for exponential sums
involving rational functions, J. Number
Theory [postscript]
- T. Cochrane, J. Coffelt &
C. G. Pinner: A further refinement of Mordell's bound on
exponential sums, Acta Arith. [pdf]
- T. Cochrane, J. Coffelt &
C. G. Pinner: A system of simultaneous congruences arising from
trinomial exponential sums,
J. Theorie des Nombres, Bordeaux. [pdf]
- C. G. Pinner: Lower
bounds on the two-sided inhomogeneous approximation constant,
Acta. Arith. [postscript]
Additional Preprints
- C. G. Pinner:
Notes comparing the inhomogeneous Lagrange and Markoff spectra. [postscript]
- C. G. Pinner: On
the inhomogeneous spectrum of period two quadratics. [postscript]
- P. Borwein, C. G. Pinner
& J. D. Vaaler: Approximating an algebraic number by a
root of a polynomial of fixed height and degree.
- W. Moran, C. G. Pinner &
A. Pollington: On non-homogeneous diophantine
approximation.
- W. Moran, C. G. Pinner &
A. Pollington: On the Barnes-Swinnerton-Dyer conjecture.
Christopher G. Pinner, Department of Mathematics, 138 Cardwell
Hall, Manhattan, KS 66506. -- pinner@math.ksu.edu