Extensions of the Theory of Indices and the Theory of Primitive Roots to Complex Integers of the Form a + bw

Author

Gracia Toralballa, Marquette University

Date of Award

1-1950

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

By a complex integer alpha, is meant a complex number of the form a + bw where w is the primitive cube root of unity, (-1/2 + 1/2 √3 i), and a and b are integers. To distinguish the latter integers from the complex integers, we shall call them rational integers. The classical Theory of Numbers is the theory of the rational integers. A great many of the theorems about the rational integers can be extended to the complex integers.

Comments

Marquette University, Milwaukee, Wisconsin.

Recommended Citation

Toralballa, Gracia, "Extensions of the Theory of Indices and the Theory of Primitive Roots to Complex Integers of the Form a + bw" (1950). Master's Essays (1922 - ). 2954.
https://epublications.marquette.edu/essays/2954