Computational classification of numbers and algebraic properties, by Robert M. Beals and Dinesh S. Thakur

This paper has appeared in IMRN 15 (1998), 799-818, and so the dvi version has been removed. We propose a computational classification of finite characteristic numbers (Laurent series with coefficients in a finite field) and prove that some classes have good algebraic properties. This provides tools for finer study of transcendence and algebraic independence questions. Using them, we place some well-known transcendental numbers occurring in number theory in the computational hierarchy.

Robert M. Beals <beals@math.arizona.edu>
Dinesh S. Thakur <thakur@math.arizona.edu>