127 citations · 1.2k across the 174 of their papers we have counts for
5 papers · 1 filter
Towards an 'average' version of the Birch and Swinnerton-Dyer Conjecture
John Goes, Steven J Miller
The Birch and Swinnerton-Dyer conjecture states that the rank of the Mordell-Weil group of an elliptic curve E equals the order of vanishing at the central point of the associated…
An Orthogonal Test of the -functions Ratios Conjecture, II
Steven J. Miller, David Montague
Recently Conrey, Farmer, and Zirnbauer developed the L-functions Ratios conjecture, which gives a recipe that predicts a wealth of statistics, from moments to spacings between adja…
Nuclei, Primes and the Random Matrix Connection
Frank W. K. Firk, Steven J. Miller
In this article, we discuss the remarkable connection between two very different fields, number theory and nuclear physics. We describe the essential aspects of these fields, the q…
A unitary test of the Ratios Conjecture
John Goes, Steven Jackson, Steven J. Miller +4
The Ratios Conjecture of Conrey, Farmer and Zirnbauer predicts the answers to numerous questions in number theory, ranging from n-level densities and correlations to mollifiers to…
Irrationality From The Book
Steven J. Miller, David Montague
We generalize Tennenbaum's geometric proof of the irrationality of sqrt(2) to sqrt(n) for n = 3, 5, 6 and 10. Modified version published in Mathematics Magazine \textbf{85} (2012),…