6 citations · 6 across the 5 of their papers we have counts for
5 papers
Minimal Mahler measure in real quadratic fields
Todd Cochrane, RMS Dissanayake, Nicholas Donohoue +4
We consider upper and lower bounds on the minimal height of an irrational number lying in a particular real quadratic field.
Intersective polynomials and Diophantine approximation, II
Thai Hoang Le, Craig V. Spencer
By applying Schmidt's lattice method, we prove results on simultaneous Diophantine approximation modulo 1 for systems of polynomials in a single prime variable provided that certai…
On the Design of Deterministic Matrices for Fast Recovery of Fourier Compressible Functions
J. Bailey, M. A. Iwen, C. V. Spencer
We present a general class of compressed sensing matrices which are then demonstrated to have associated sublinear-time sparse approximation algorithms. We then develop methods for…
Diophantine inequalities and quasi-algebraically closed fields
Craig V. Spencer, Trevor D. Wooley
Consider a form of degree , having coefficients in the completion of the field of fractions associated to the finite field . We estab…
Directional discrepancy in two dimensions
Dmitriy Bilyk, Xiaomin Ma, Jill Pipher +1
In the present paper, we study the geometric discrepancy with respect to families of rotated rectangles. The well-known extremal cases are the axis-parallel rectangles (logarithmic…