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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.
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.
A note on Farey fractions with odd denominators. J. Number Theory. 98(1). 2003.
Density of orbits of semigroups of endomorphisms acting on the Adeles. New York J. Math.. 19. 2013.
Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3). 2010.
Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1). 2008.
Incomplete Kloosterman sums and multiplicative inverses in short intervals. Int. J. Number Theory. 9. 2013.
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.
Projective metric number theory. J. Reine Angew. Math. (Crelle's Journal).. In Press.
Inhomogeneous approximation by coprime integers. New York J. Math.. 18. 2012.
The Duffin-Schaeffer Conjecture with extra divergence. Mathematische Annalen . 353(2):259-273.. 2012.
Intermediate convergents and a metric theorem of Khinchin. Bull. Lond. Math. Soc.. 41. 2009.
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals. Advances in Mathematics. 252C. 2014.
Tools and techniques in Diophantine approximation. Department of Mathematics. Ph.D.:154.. 2006.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD