Four Quotient Set Gems

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Michael Someck '14, Pomona College
Bob Lutz '13, Pomona College
Bryan Brown '15, Pomona College
Michael Dairyko '13, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

8-2014

Keywords

quotient sets, fractional density, partitions, arithmetic progressions

Abstract

Our aim in this note is to present four remarkable facts about quotient sets. These observations seem to have been overlooked by the MONTHLY, despite its intense coverage of quotient sets over the years.

Comments

The article is also available from the American Mathematical Monthly at: http://www.maa.org/press/periodicals/american-mathematical-monthly/american-mathematical-monthly-contents-augustseptember-2014

Rights Information

© 2014 Mathematical Association of America. All Rights Reserved.

Recommended Citation

Brown, B., Dairyko, M., Garcia, S.R., Lutz, B., Someck, M., "Four Quotient Set Gems," American Mathematical Monthly 121 (2014), no. 7, 590-598.