J. P. Keating

activity

20152018

most citedWhat is the probability that a random integral quadratic form in

n

variables has an integral zero?

7 citations · 7 across the 1 of their papers we have counts for

collaborators

3 papers

math-ph2018

On the moments of the moments of the characteristic polynomials of random unitary matrices

E. C. Bailey, J. P. Keating

Denoting by $P_{N} (A, θ) = det (I - A e^{- i θ})$ the characteristic polynomial on the unit circle in the complex plane of an $N \times N$ random unitary matrix $A$ , we calculate the $k$ th mo…

math.NT2016

Truncated Product Representations for $L$ -Functions in the Hyperelliptic Ensemble

J. C. Andrade, S. M. Gonek, J. P. Keating

We investigate the approximation of quadratic Dirichlet $L$ -functions over function fields by truncations of their Euler products. We first establish representations for such $L$ -f…

math.NT2015★ 7 cited

What is the probability that a random integral quadratic form in $n$ variables has an integral zero?

M. Bhargava, J. E. Cremona, T. A. Fisher +2

We show that the density of quadratic forms in $n$ variables over $Z_{p}$ that are isotropic is a rational function of $p$ , where the rational function is independent of $p$ ,…

On the moments of the moments of the characteristic polynomials of random unitary matrices

Truncated Product Representations for L-Functions in the Hyperelliptic Ensemble

What is the probability that a random integral quadratic form in n variables has an integral zero?

Truncated Product Representations for $L$ -Functions in the Hyperelliptic Ensemble

What is the probability that a random integral quadratic form in $n$ variables has an integral zero?