Preprints
-
M. M. Dodson and S. Kristensen, Hausdorff dimension and Diophantine
approximation, 42 pages to appear in Fractal Geometry and
Applications, A Jubilee of Benoit Mandelbrot, Proceedings of Symposia
in Pure Mathematics, American Mathematical Society
Preprint
available
-
S. Kristensen, Badly approximable linear forms over a field of formal
series
Preprint
available
-
S. Kristensen, Metric Diophantine approximation with respect to
planar distance functions.
-
Y. Bugeaud, M. M. Dodson and S. Kristensen, Zero-infinity laws in
Diophantine approximation
Preprint
available
-
N. Berry, A. Dubickas, N.Elkies, B. Poonen and C J Smyth, The
conjugate
dimension of algebraic numbers
Click here
for .ps file
or here for xxx archive
-
C J Smyth Explicit formulas for the Mahler measure of families of
multivariable polynomials
Click here
for .ps file.
-
J McKee and C J Smyth, There are Salem numbers of every trace.
Click here
for .ps file
or here for xxx archive
-
J McKee and C J Smyth, Salem numbers of trace -2 and traces of totally
positive algebraic integers.
Click here
for .ps file
2006
2005
2004
2003
-
S. Kristensen, Diophantine approximation and the solubility of the
Schrödinger equation Phys. Lett. A, 314 (1--2) (2003),
pp. 15-18.
Preprint
available
-
S. Kristensen, On well-approximable matrices over a field of formal
series, Math. Proc. Cambridge Philos. Soc., 135(2) (2003),
pp. 255-268.
-
A Dubickas and C J Smyth,
On metric heights, Periodica Math. Hung. 46 (2)(2003),
135-155.
2002
-
F Beukers and C J Smyth, Cyclotomic points on curves. In: Number
Theory
for the Millenium I, A.K. Peters 2002 ( Proceedings of the Millennial
Conference on number theory, Urbana May 21-26 2000), 67-85
Click here
for .ps file.
-
C J Smyth, An explicit formula for the Mahler measure of a family
of
3-variable polynomials. J. Theor. Nombres Bordeaux 14 (2002),
683-700
Click here
for .ps file.
-
A Dubickas and C J Smyth, Variations on the theme of Hilbert's
Theorem
90. Glasgow Math. J. 22 (2002), 435-441
Click here
for .ps file.
2001
-
S. Kristensen, Some metric properties of Lüroth expansions
over the field of Laurent series, Bull. Austral. Math. Soc., 64 (2)
(2001), pp. 345-351
-
R Laza, L O'Carroll and D Popescu, Maximal Cohen-Macaulay
modules over $Y\sp 3\sb 1+\dots+Y\sp 3\sb n$ with
few generators. Memorial issue dedicated to Nicolae Radu. Math. Rep.
(Bucur.) 3(53) (2001), no. 2, 177-185.
-
A Dubickas and C J Smyth , "The Lehmer constants of an annulus",
J. Thior. Nombres Bordeaux 13 (2001), 413-420
Click here
for .ps file.
- A Dubickas and C J Smyth,
On the Remak height, the Mahler measure and conjugate sets of algebraic
numbers lying on two circles, Proc Edin. Math. Soc. 44 (Series II),
(2001), 1--18.
- A Dubickas and C J Smyth, C. On the metric Mahler measure. J.
Number Theory 86 (2001), no. 2, 368--387.
2000
- K R Goodearl and T H Lenagan,
Prime ideals in certain quantum determinantal rings,
in Interactions between
Ring Theory and Representations of Algebras (Murcia, 1998) (F. Van
Oystaeyen and M. Saorin,
Eds.), New York (2000) Dekker, pp. 239-251
Click here
for .ps file or
here
for .dvi file. or here for xxx archive
- Gilbert, A. D. and Smyth, C. J. Zero-mean cosine polynomials
which
are non-negative for as long as possible.
J. London Math. Soc. (2) 62 (2000), no. 2, 489--504.
- Smyth, C. J. Salem numbers of negative trace.
Math. Comp. 69 (2000), no. 230, 827--838.
1999
- G R Krause and T H Lenagan,
Growth of Algebras and Gelfand-Kirillov dimension,
American Mathematical Society,
Graduate Studies in
Mathematics, 22. American Mathematical Society, Providence, RI, 2000.
x+212 pp. ISBN: 0-8218-0859-1
- McKee, J. F., Rowlinson, P. and Smyth, C. J. Salem numbers and
Pisot
numbers from stars. Number theory in
progress, Vol. 1 (Zakopane-Koscielisko, 1997), 309--319, de Gruyter,
Berlin, 1999.
- Smyth, C. J. There are only eleven special Pisot numbers. Bull.
London Math. Soc. 31 (1999), no. 1, 1--5.