4 papers
New Lower Bounds for the Schur-Siegel-Smyth Trace Problem
Bryce Joseph Orloski, Naser Talebizadeh Sardari, Alexander Smith
We derive and implement a new way to find lower bounds on the smallest limiting trace-to-degree ratio of totally positive algebraic integers and improve the previously best known b…
A quantitative converse of Fekete's theorem
Naser Talebizadeh Sardari, Bryce Joseph Orloski
Given a compact subset (or ) with logarithmic capacity greater than zero, we construct an explicit family of probability measures supported on …
Limiting distributions of conjugate algebraic integers
Bryce Joseph Orloski, Naser Talebizadeh Sardari
Let be a compact subset of the complex plane, and be a probability distribution on . We give necessary and sufficient conditions for to be the weak…
Automatic Generation of Complete Polynomial Interpolation Hardware Design Space
Bryce Orloski, Samuel Coward, Theo Drane
Hardware implementations of complex functions regularly deploy piecewise polynomial approximations. This work determines the complete design space of piecewise polynomial approxima…