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Eastern Washington University

Quadratic and cubic reciprocity

Abstract

dc:description.abstract

<p>"In this thesis, we seek to prove results about quadratic and cubic reciprocity in great detail. Although these results appear in many textbooks, the proofs often contain large gaps that may be difficult for the average reader to follow. To achieve this goal, we have 'built up to reciprocity theory from basic principles of algebra, and whenever possible, we have tried to prove the number theoretic results of reciprocity using ideas from group theory. This thesis could potentially serve as a reference for a student who desires to study quadratic or cubic reciprocity in more detail, or as a foundation for studying higher reciprocity laws"--Document.</p>

Degree

thesis:*
Name thesis:degree_name
Master of Science (MS) in Mathematics
Level thesis:degree_level
Thesis
Discipline thesis:degree_discipline
Mathematics
Year
2012

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Rousseau, Suzanne

Subjects

dc:subject × 5

Rights

dc:rights
Statement dc:rights
  • Access is available to all users

Identifiers

dc:identifier.*
Repository record dc:identifier
https://dc.ewu.edu/theses/27
OAI identifier oai:identifier
oai:dc.ewu.edu:theses-1026

Chain of custody

source
Harvested from
Eastern Washington University
Base URL
dc.ewu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Rousseau, Suzanne. Quadratic and cubic reciprocity. Thesis thesis, 2012. https://dc.ewu.edu/theses/27