Abstract
In this thesis, we extend results of Emerald Stacy to compute an upper bound on the minimal height of a totally p-adic algebraic integer of degree 4 independent of p. We also compute actual values of the minimal height of a totally p-adic algebraic integer of degree 4 for small primes p.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
https://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Ault, Melissa Janet, "Totally p-adic Numbers of Degree 4" (2021). Theses and Dissertations. 9320.
https://scholarsarchive.byu.edu/etd/9320
Date Submitted
2021-12-09
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd11957
Keywords
totally p-adic, algebraic numbers, logarithmic height, number fields
Language
english