C. Hughes

Mathematical Physics · with Keating · 2000–2007

A researcher in the Science corpus: 6 papers; trusts 7 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 17 citations into it; #3,878 of 8,562 by trust here, #1,610 by citations
• Algebra and Number Theory — 9 citations into it; #630 of 2,864 by trust here, #734 by citations
• Statistics and Probability — 9 citations into it
• Discrete Mathematics and Combinatorics — 6 citations into it

Whom C. Hughes trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jon P Keating
2. K. Wieand
3. N. Snaith
4. Marc Coram
5. Persi Diaconis
6. Michael O. Rubinstein
7. L. Shepp
8. J. Brian Conrey
9. Alice Guionnet

Who trusts C. Hughes overall

1. M. Young
2. Siegfred Baluyot
3. W. Heap
4. Hugh Montgomery
5. Steven M. Gonek
6. Maksym Radziwill
7. Jon P Keating
8. J. Brian Conrey
9. Percy Deift
10. Sourav Chatterjee

Papers from C. Hughes's perspective

Ordered by how strongly the researchers C. Hughes trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random Matrix Theory and L-Functions at s= 1/2
2. New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function
3. Random Matrix Theory and ζ(1/2+it)
4. Random matrix theory and the derivative of the Riemann zeta function (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
5. CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES
6. Eigenvalue distributions of random unitary matrices
7. Probability Essentials
8. Low-lying zeros of L-functions and random matrix theory
9. Erratum to: Bounds for automorphic L–functions. II
10. Mollification of the fourth moment of automorphic L-functions and arithmetic applications

Their papers

• On the Characteristic Polynomial¶ of a Random Unitary Matrix (2001) — 235 citations
• The twisted fourth moment of the Riemann zeta function (2007) — 66 citations
• A hybrid Euler-Hadamard product for the Riemann zeta function (2007) — 101 citations
• The zeros of random polynomials cluster uniformly near the unit circle (2004) — 107 citations
• Linear statistics of low-lying zeros of L-functions (2002) — 120 citations
• Random matrix theory and the derivative of the Riemann zeta function (2000) — 117 citations