You are here

Nonexistence of a Composition Law

by Şaban Alaca (Carleton University Canada) and Kenneth S. Williams (Carleton University Canada)

This article originally appeared in:
Mathematics Magazine
April, 2007

Subject classification(s): Algebra and Number Theory | Number Theory
Applicable Course(s): 4.3 Number Theory

It is known that every positive odd integer can be expressed in the form \(x^2 + y^2 + 2z^2\) for some integers \(x\), \(y\) and \(z\). The authors discuss the non-existence of certain composition laws.


A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Number Theory | Diophantine Problems
Average: 2.8 (38 votes)

Dummy View - NOT TO BE DELETED