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Abstract

This paper explores which integers can be expressed in the form a2±2b2 by using rings of the form Z[√d], particularly when d = 2 and d = −2.

Faculty Advisor Name

Evan Houston

Faculty Advisor Institution

University of North Carolina at Charlotte

Suggested Mathematics Subject Classification(s)

13A99

Comments

The author would like to thank his sponsor, Professor Evan Houston of UNC Charlotte.

Included in

Mathematics Commons

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