Construction of a Dimension Two Rank One Drinfeld Module

Author

Catherine Trentacoste, Clemson UniversityFollow

Date of Award

5-2009

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematical Science

Committee Chair/Advisor

James, Kevin

Committee Member

Maharaj , Hiren

Abstract

Consider F_r[t] where r = pm for some prime p and m in the natural numbers. Let f(t) be an irreducible square-free polynomial with even degree in F_r[t] so that the leading coeffcient is not a square
mod F_r. Let A = L = F_r[t][\sqrt{f(t)}].
We will examine the basic set-up required for a dimension two rank one Drinfeld module over L along with an explanation of our choice of f(t). In addition we will show the construction for the exponential function.

Recommended Citation

Trentacoste, Catherine, "Construction of a Dimension Two Rank One Drinfeld Module" (2009). All Theses. 540.
https://tigerprints.clemson.edu/all_theses/540