6 citations · 12 across the 4 of their papers we have counts for
7 papers · 1 filter
Discretisation for odd quadratic twists
J. Brian Conrey, Michael O. Rubinstein, Nina C. Snaith +1
The discretisation problem for even quadratic twists is almost understood, with the main question now being how the arithmetic Delaunay heuristic interacts with the analytic random…
Moments of the derivative of the Riemann zeta-function and of characteristic polynomials
J. Brian Conrey, Michael O. Rubinstein, Nina C. Snaith
We investigate the moments of the derivative, on the unit circle, of characteristic polynomials of random unitary matrices and use this to formulate a conjecture for the moments of…
Random Matrix Theory and the Fourier Coefficients of Half-Integral Weight Forms
J. Brian Conrey, Jon P. Keating, Michael O. Rubinstein +1
Conjectured links between the distribution of values taken by the characteristic polynomials of random orthogonal matrices and that for certain families of L-functions at the centr…
Integral moments of L-functions
J. B. Conrey, D. W. Farmer, J. P. Keating +2
We give a new heuristic for all of the main terms in the integral moments of various families of primitive L-functions. The results agree with previous conjectures for the leading…
Spacing of zeros of Hecke L-functions and the class number problem
J. Brian Conrey, Henryk Iwaniec
We derive strong and effective lower bounds for the class number h(q) of the imaginary quadratic field Q(\sqrt{-q}), conditionally subject to the existence of many small (subnormal…
On the frequency of vanishing of quadratic twists of modular L-functions
J. Brian Conrey, Jonathan Keating, Michael Rubinstein +1
We present theoretical and numerical evidence for a random matrix theoretic approach to a conjecture about vanishings of quadratic twists of certain L-functions