On the Characteristic Polynomial of a Random Unitary Matrix CP Hughes, JP Keating, N O'Connell Communications in Mathematical Physics 220 (2), 429-451, 2001 | 146 | 2001 |

Random matrix theory and the derivative of the Riemann zeta function CP Hughes, JP Keating, N O'Connell Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2000 | 103 | 2000 |

The zeros of random polynomials cluster uniformly near the unit circle CP Hughes, A Nikeghbali Compositio Mathematica 144 (3), 734-746, 2008 | 101 | 2008 |

Linear Statistics of Low‐Lying Zeros of L‐Functions CP Hughes, Z Rudnick Quarterly Journal of Mathematics 54 (3), 309-333, 2003 | 97 | 2003 |

The maximum size of L-functions DW Farmer, SM Gonek, CP Hughes Journal für die reine und angewandte Mathematik (Crelles Journal) 2007 (609 …, 2007 | 94 | 2007 |

A hybrid Euler-Hadamard product for the Riemann zeta function SM Gonek, CP Hughes, JP Keating Duke Mathematical Journal 136 (3), 507-549, 2007 | 87 | 2007 |

Low-lying zeros of -functions with orthogonal symmetry CP Hughes, SJ Miller Duke Mathematical Journal 136 (1), 115-172, 2007 | 68 | 2007 |

The characteristic polynomial of a random unitary matrix: a probabilistic approach P Bourgade, CP Hughes, A Nikeghbali, M Yor Duke Mathematical Journal 145 (1), 45-69, 2008 | 52 | 2008 |

On the characteristic polynomial of a random unitary matrix and the Riemann zeta function CP Hughes University of Bristol, 2001 | 49 | 2001 |

Mock-Gaussian behaviour for linear statistics of classical compact groups CP Hughes, Z Rudnick Journal of Physics A: Mathematical and General 36, 2919, 2003 | 48 | 2003 |

The twisted fourth moment of the Riemann zeta function CP Hughes, M Young J. reine angew. Math 641, 203-236, 2010 | 36 | 2010 |

Random matrix theory and discrete moments of the Riemann zeta function CP Hughes Journal of Physics A: Mathematical and General 36, 2907, 2003 | 33 | 2003 |

Roots of the derivative of the Riemann-zeta function and of characteristic polynomials E Dueñez, DW Farmer, S Froehlich, CP Hughes, F Mezzadri, T Phan Nonlinearity 23, 2599, 2010 | 24 | 2010 |

On the distribution of lattice points in thin annuli CP Hughes, Z Rudnick International Mathematics Research Notices 2004 (13), 637-658, 2004 | 21 | 2004 |

Linear statistics for zeros of Riemann's zeta function CP Hughes, Z Rudnick Comptes Rendus Mathematique 335 (8), 667-670, 2002 | 21 | 2002 |

Random permutation matrices under the generalized Ewens measure C Hughes, J Najnudel, A Nikeghbali, D Zeindler Arxiv preprint arXiv:1109.5010, 2011 | 17 | 2011 |

An arithmetic model for the total disorder process CP Hughes, A Nikeghbali, M Yor Probability Theory and Related Fields 141 (1), 47-59, 2008 | 17 | 2008 |

Mock-Gaussian behaviour CP Hughes LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 322, 337, 2005 | 5 | 2005 |

On the number of zeros of linear combinations of independent characteristic polynomials of random unitary matrices Y Barhoumi-Andréani, C Hughes, J Najnudel, A Nikeghbali International Mathematics Research Notices 2015 (23), 12366-12404, 2015 | 2 | 2015 |

The effect of repeated differentiation on L-functions J Gunns, C Hughes Journal of Number Theory 194, 30-43, 2019 | 1 | 2019 |