Quotient Sets and Diophantine Equations

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Vincent Selhorst-Jones '09, Pomona College
Daniel E. Poore '11, Pomona College
Noah Simon '08, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2011

Keywords

quotient sets, Diophantine equations

Abstract

Quotient sets U / U = {u / u¹: u, u¹ ϵ U} have been considered several times before in the MONTHLY. We consider more general quotient sets U / V and we apply our results to certain simultaneous Diophantine equations with side constraints.

Comments

This article is also available from the American Mathematical Monthly at: http://www.maa.org/press/periodicals/american-mathematical-monthly/american-mathematical-monthly-contents-october-2011

Rights Information

© 2011 Mathematical Association of America

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Garcia, S.R., Poore, D.E., Selhorst-Jones, Simon, N., Quotient sets and Diophantine equations, American Mathematical Monthly 118 (2011), no. 8, 704–711.