Quadratic and cubic reciprocity

Author

Suzanne Rousseau, Eastern Washington University

Date of Award

2012

Rights

Access is available to all users

Document Type

Thesis

Degree Name

Master of Science (MS) in Mathematics

Department

Mathematics

Abstract

"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.

Comments

Typescript. Vita.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Recommended Citation

Rousseau, Suzanne, "Quadratic and cubic reciprocity" (2012). EWU Masters Thesis Collection. 27.
https://dc.ewu.edu/theses/27