Filters: Author is Dodson, M. M. [Clear All Filters]
Zero-infinity laws in Diophantine approximation. Quart. J Math.. 56:311-320.. 2005.
The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula. J. Fourier Analysis and Applications. 10:183-203.. 2004.
Systems of linear forms and covers for star bodies. Acta Arith. 61:119-127.. 1992.
Star bodies and Diophantine approximation. J London Math Soc. (2) 44:1-8.. 1991.
Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Math Proc Camb Phil Soc. 130:515-522.. 2001.
Simultaneous Diophantine approximation and asymptotic formulae on manifolds. J Number Theory. 50:298-316.. 1996.
Shannon's sampling theorem. Current Science. 65:253-260.. 1992.
The Shannon sampling theorem, incongruent residue classes and Plancherel's theorem. Sem Theorie Nombres Bordeaux. 14:425-437.. 2002.
Regular systems, ubiquity and Diophantine approximation. A Panorama of Number Theory or The View from Baker's Garden. :260-279.. 2002.
A quantitative Khintchine-Groshev type theorem over a field of formal series. Indag. Math.. 16:171-177.. 2005.
Patterson measure and Ubiquity. Ann. Acad. Sci. Fenn.. 20:1:37--60.. 1995.
On the Hausdorff dimension of sets of well approximable points on non-degenerate curves. Dokl. Nats. Akad. Nauk Belarusi. 46, no.6:18-20.. 2002.
On the approximate form of Kluvánek's theorem. Journal of Approximation Theory. 160:281-303.. 2009.
On linear manifolds for which the Khintchine approximation theorem holds. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no. 2:14-17.. 2000.
Number theory and dynamical systems. London Mathematical Society Lecture Note Series.. 1989.
A note on inhomogeneous metric Diophantine approximation. J Australian Math Soc A. 62:175-185.. 1997.
Metric diophantine approximation on manifolds. Cambridge Tracts in Mathematics. 137:233-265.. 1999.
Metric Diophantine approximation and Hausdorff dimension on manifolds. Math Proc Camb Phil Soc. 105:547-558.. 1989.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD