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Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.. 2009.
Rational points near manifolds and metric Diophantine approximation. Annals of Mathematics. 175(1):187-235.. 2012.
Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal.. In Press.
Simultaneous Diophantine Approximation on polynomial surfaces. Mathematika . 56:77-85.. 2010.
On shrinking targets for Z^m actions on tori. Mathematika. 56(2):10pages.. 2010.
Number theory and dynamical systems. London Mathematical Society Lecture Note Series.. 1989.
Metrical Diophantine approximation for quaternions. Mathematical Proceedings of the Cambridge Philosophical Society. 157(3):513-542.. 2014.
Roots of the derivative of the Riemann zeta function and of characteristic polynomials. Nonlinearity. 23:2599--2621.. 2010.
The maximum size of $L$-functions. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 609:215-236.. 2007.
A hybrid Euler-Hadamard product for the Riemann zeta function. Duke Math. J.. 136:507--549.. 2007.
Franel integrals. Sieve methods, exponential sums and their applications in number theory. :143-160.. 1996.
Deformation Quantization and Irrational Numbers. Journal of Symplectic Geometry. 12(1):1–22.. 2014.
The metric theory of p-adic approximation. International Math Research Notices. (1). 2010.
Density of orbits of semigroups of endomorphisms acting on the Adeles. New York J. Math.. 19. 2013.
The group ring of Q/Z and an application of a divisor problem. Proc. Amer. Math. Soc.. 137. 2009.
A note on Farey fractions with odd denominators. J. Number Theory. 98(1). 2003.
Metrical musings on Littlewood and friends. Proc. Amer. Math. Soc.. 142(2). 2014.
Equivalence classes of codimension one cut-and-project nets. Ergodic Theory Dyn. Syst... In Press.
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals. Advances in Mathematics. 252C. 2014.
Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3). 2010.
Inhomogeneous approximation by coprime integers. New York J. Math.. 18. 2012.
Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1). 2008.
The distribution of special subsets of the Farey sequence. J. Number Theory. 107(1). 2004.
Metric considerations concerning the mixed Littlewood Conjecture. Int. J. Number Theory. (3) :593-609.. 2011.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD