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