CH
Christopher Hughes
math.NTmath.PRmath.MPmath-phmath.CV
On Valency
published · living versionsW_uybtpph7·v1 · currentpublished
Preprints & journals
14 papers in the corpus · 2002–2026The discrete second moment of mixed derivatives of the Riemann zeta function2601.06292v1 · Benjamin Durkan, Christopher Hughes, Andrew Pearce-Crump2026 · 0 citationsarXiv
Complex moments of the derivative of the Riemann zeta function2509.07788v1 · Christopher Hughes, Andrew Pearce-Crump2025 · 0 citationsarXiv
Integer moments of the derivatives of the Riemann zeta function2509.07792v1 · Christopher Hughes, Andrew Pearce-Crump2025 · 0 citationsarXiv
The second moment of the Riemann zeta function at its local extrema2411.05573v1 · Christopher Hughes, Solomon Lugmayer, Andrew Pearce-Crump2024 · 0 citationsarXiv
Moments of derivatives of the Riemann zeta function: Characteristic polynomials and the hybrid formula2406.08121v2 · Christopher Hughes, Andrew Pearce-Crump2024 · 0 citationsarXiv
A heuristic for discrete mean values of the derivative of the Riemann zeta function2305.14253v2 · Christopher Hughes, Greg Martin, Andrew Pearce-Crump2023 · 0 citationsarXiv
A discrete mean-value theorem for the higher derivatives of the Riemann zeta function2106.03005v3 · Christopher Hughes, Andrew Pearce-Crump2021 · 5 citationsJournal of Number Theory 241 (2022) 142--164
On the number of zeros of linear combinations of independent characteristic polynomials of random unitary matrices1301.5144v1 · Yacine Barhoumi, Chris Hughes, Joseph Najnudel et al.2013 · 2 citationsarXiv
Random permutation matrices under the generalized Ewens measure1109.5010v2 · Christopher Hughes, Joseph Najnudel, Ashkan Nikeghbali et al.2011 · 15 citationsAnnals of Applied Probability 2013, Vol. 23, No. 3, 987-1024
Roots of the derivative of the Riemann zeta function and of characteristic polynomials1002.0372v1 · Eduardo Duenez, David W. Farmer, Sara Froehlich et al.2010 · 29 citationsNonlinearity, Vol. 23 (2010), 2599-2621
The characteristic polynomial of a random unitary matrix: a probabilistic approach0706.0333v1 · Paul Bourgade, Chris Hughes, Ashkan Nikeghbali et al.2007 · 52 citationsarXiv
The zeros of random polynomials cluster uniformly near the unit circlemath/0406376v3 · C.P. Hughes, A. Nikeghbali2004 · 49 citationsarXiv
Random matrix theory and discrete moments of the Riemann zeta functionmath/0207236v2 · C.P. Hughes2002 · 30 citationsarXiv
Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groupsmath/0206289v1 · C.P. Hughes, Z. Rudnick2002 · 50 citationsarXiv
Career total: 31 works. 14 are in this corpus.
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