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CSUniversity San Bernardino

A Fundamental Unit of O_K

Abstract

dc:description.abstract

<p>In the classical case we make use of Pells equation to compute units in the ring O<sub>F. </sub> Consider the parallel to the classical case and the quadratic field extension that creates the ring O<sub>K</sub>. We use the generalized Pell's equation to find the units in this ring since they are solutions. Through the use of continued fractions we may further characterize this ring and compute its units. </p>

Degree

thesis:*
Name thesis:degree_name
Master of Arts in Mathematics
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Mathematics
Year dc:date.available
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Munoz, Susana L
Contributors dc:contributor
  • J. Paul Vicknair

Subjects

dc:subject × 6

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarworks.lib.csusb.edu/etd/133
OAI identifier oai:identifier
oai:scholarworks.lib.csusb.edu:etd-1150

Chain of custody

source
Harvested from
CSUniversity San Bernardino
Base URL
scholarworks.lib.csusb.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Munoz, Susana L. A Fundamental Unit of O_K. Thesis thesis, 2015. https://scholarworks.lib.csusb.edu/etd/133