1 citations · 1 across the 1 of their papers we have counts for
7 papers
Notes on Cardinal's Matrices
Jeffrey C. Lagarias, David Montague
These notes are motivated by the work of Jean-Paul Cardinal on symmetric matrices related to the Mertens function. He showed that certain norm bounds on his matrices implied the Ri…
Graphical Markov models for infinitely many variables
David Montague, Bala Rajaratnam
Representing the conditional independences present in a multivariate random vector via graphs has found widespread use in applications, and such representations are popularly known…
The Integral of the Riemann xi-function
Jeffrey C. Lagarias, David Montague
This paper studies the integral of the Riemann xi-function. More generally, it studies a one-parameter family of functions given by Fourier integrals and satisfying a functional eq…
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…
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),…