Christopher Hughes
Christopher Hughes
Lecturer in Mathematics, University of York
Verified email at york.ac.uk - Homepage
Title
Cited by
Cited by
Year
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
1462001
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
1032000
The zeros of random polynomials cluster uniformly near the unit circle
CP Hughes, A Nikeghbali
Compositio Mathematica 144 (3), 734-746, 2008
1012008
Linear Statistics of Low‐Lying Zeros of L‐Functions
CP Hughes, Z Rudnick
Quarterly Journal of Mathematics 54 (3), 309-333, 2003
972003
The maximum size of L-functions
DW Farmer, SM Gonek, CP Hughes
Journal für die reine und angewandte Mathematik (Crelles Journal) 2007 (609 …, 2007
942007
A hybrid Euler-Hadamard product for the Riemann zeta function
SM Gonek, CP Hughes, JP Keating
Duke Mathematical Journal 136 (3), 507-549, 2007
872007
Low-lying zeros of -functions with orthogonal symmetry
CP Hughes, SJ Miller
Duke Mathematical Journal 136 (1), 115-172, 2007
682007
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
522008
On the characteristic polynomial of a random unitary matrix and the Riemann zeta function
CP Hughes
University of Bristol, 2001
492001
Mock-Gaussian behaviour for linear statistics of classical compact groups
CP Hughes, Z Rudnick
Journal of Physics A: Mathematical and General 36, 2919, 2003
482003
The twisted fourth moment of the Riemann zeta function
CP Hughes, M Young
J. reine angew. Math 641, 203-236, 2010
362010
Random matrix theory and discrete moments of the Riemann zeta function
CP Hughes
Journal of Physics A: Mathematical and General 36, 2907, 2003
332003
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
242010
On the distribution of lattice points in thin annuli
CP Hughes, Z Rudnick
International Mathematics Research Notices 2004 (13), 637-658, 2004
212004
Linear statistics for zeros of Riemann's zeta function
CP Hughes, Z Rudnick
Comptes Rendus Mathematique 335 (8), 667-670, 2002
212002
Random permutation matrices under the generalized Ewens measure
C Hughes, J Najnudel, A Nikeghbali, D Zeindler
Arxiv preprint arXiv:1109.5010, 2011
172011
An arithmetic model for the total disorder process
CP Hughes, A Nikeghbali, M Yor
Probability Theory and Related Fields 141 (1), 47-59, 2008
172008
Mock-Gaussian behaviour
CP Hughes
LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 322, 337, 2005
52005
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
22015
The effect of repeated differentiation on L-functions
J Gunns, C Hughes
Journal of Number Theory 194, 30-43, 2019
12019
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Articles 1–20