85 citations · 140 across the 13 of their papers we have counts for
15 papers
On the discrete Fisher information
Keith M. Ball, Barnabás Gárgyán
We investigate a discrete analogue of the Fisher information. By using a discrete Laplacian operator, we can construct a discrete analogue of the score function and hence of the in…
The functional equation for
Keith Ball
This note contains a short proof of the functional equation for the zeta function.
Rational approximations to the zeta function II
Keith M Ball
This note describes continued fraction representations for the rational approximations to the zeta function recently found by the author. It is tempting to think that these continu…
Rational approximations to the zeta function
Keith Ball
This article describes a sequence of rational functions which converges locally uniformly to the zeta function. The numerators (and denominators) of these rational functions can be…
Wronskians and Linear Dependence of Formal Power Series
Keith Ball, Cynthia Parks, Wai Yan Pong
We give a new proof of the fact that the vanishing of generalized Wronskians implies linear dependence of formal power series in serveral variables. Our results are also valid for…
A reverse entropy power inequality for log-concave random vectors
Keith Ball, Piotr Nayar, Tomasz Tkocz
We prove that the exponent of the entropy of one dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy p…