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Publications

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D
Dodson MM, Vickers JAG.  1989.  Number theory and dynamical systems. London Mathematical Society Lecture Note Series.
Dodson M, Everitt B.  Submitted.  Metrical Diophantine approximation for quaternions. Abstract
Duenez E, Farmer DW, Froehlich S, Hughes C, Mezzadri F, Phan T.  2010.  Roots of the derivative of the Riemann zeta function and of characteristic polynomials. Nonlinearity. 23:2599--2621. Abstract
F
Farmer DW, Gonek SM, Hughes C.  2007.  The maximum size of $L$-functions. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 609:215-236. Abstract
G
Gonek SM, Hughes C, Keating JP.  2007.  A hybrid Euler-Hadamard product for the Riemann zeta function. Duke Math. J.. 136:507--549. Abstract
H
Hall R.  1996.  Franel integrals. Sieve methods, exponential sums and their applications in number theory. :143-160.
Hawkins E, Haynes A.  2011.  Deformation Quantization and Irrational Numbers.
Haynes A.  2009.  Intermediate convergents and a metric theorem of Khinchin. Bull. Lond. Math. Soc.. 41
Haynes A.  2006.  Tools and techniques in Diophantine approximation. Department of Mathematics. Ph.D.:154.
Haynes A, Velani S, Bugeaud Y.  2011.  Metric considerations concerning the mixed Littlewood Conjecture. Int. J. Number Theory. (3) :593-609.
Haynes A, Badziahin D.  2011.  A note on Farey fractions with denominators in arithmetic progressions. Acta Arith.. 147(3):205–215.
Haynes A, Pollington A, Velani S.  2012.  The Duffin-Schaeffer Conjecture with extra divergence. Mathematische Annalen . 353(2):259-273.
Haynes A.  2010.  The metric theory of p-adic approximation. International Math Research Notices. (1)
Haynes A, Homma K.  2009.  The group ring of Q/Z and an application of a divisor problem. Proc. Amer. Math. Soc.. 137
Haynes A.  2003.  A note on Farey fractions with odd denominators. J. Number Theory. 98(1)
Haynes A.  2010.  Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3)
Haynes A, Vaaler J.  2008.  Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1)
Haynes A.  2004.  The distribution of special subsets of the Farey sequence. J. Number Theory. 107(1)
Hughes C, Najnudel J, Nikeghbali A, Zeindler D.  2013.  Random Permutation Matrices Under the Generalized Ewens Measure. The Annals of Applied Probability. 23:987--1024. Abstract
Hughes C, Rudnick Z.  2003.  Linear statistics of low-lying zeros of $L$-functions. Quart. J. Math. Oxford. 54:309--333. Abstract
Hughes C, Young MP.  2010.  The twisted fourth moment of the Riemann zeta function. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 2010(641):203--236. Abstract
Hughes C, Keating JP, O'Connell N.  2000.  Random matrix theory and the derivative of the Riemann zeta function. Proc. R. Soc. Lond. Proc. A. 456:2611--2627. Abstract
Hughes C, Miller SJ.  2007.  Low lying zeros of L-functions with orthogonal symmetry. Duke Math. J.. 136:115--172. Abstract
Hughes C, Rudnick Z.  2002.  Linear statistics for zeros of Riemann's zeta function.. C. R. Math. Acad. Sci. Paris. 335:667--670. Abstract
Hughes C, Nikeghbali A, Yor M.  2008.  An arithmetic model for the total disorder process. Probability Theory and Related Fields. 141:47--59. Abstract

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