Four Quotient Set Gems

被引：13

作者：

Brown, Bryan ^{[1
]}

Dairyko, Michael ^{[2
]}

Garcia, Stephan Ramon ^{[3
]}

Lutz, Bob ^{[4
]}

Someck, Michael ^{[1
]}

机构：

[1] Pomona Coll, Claremont, CA 91711 USA

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[3] Pomona Coll, Dept Math, Claremont, CA 91711 USA

[4] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

AMERICAN MATHEMATICAL MONTHLY | 2014年 / 121卷 / 07期

基金：

美国国家科学基金会;

关键词：

PRIMES;

D O I：

10.4169/amer.math.monthly.121.07.590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：590 / 599

页数：10

共 16 条

[1] [Anonymous], 2006, An introduction to the theory of numbers
[2] On accumulation points of ratio sets of positive integers
Bukor, J
Toth, JT
[J]. AMERICAN MATHEMATICAL MONTHLY, 1996, 103 (06) : 502 - 504
[3] Bukor J., 1997, MATH SLOVACA, V4, P517
[4] Bukor J., 1997, TATRA MT MATH PUBL, V11, P159
[5] Quotients of Gaussian Primes
Garcia, Stephan Ramon
[J]. AMERICAN MATHEMATICAL MONTHLY, 2013, 120 (09) : 851 - 853
[6] Quotient Sets and Diophantine Equations
Garcia, Stephan Ramon
Selhorst-Jones, Vincent
Poore, Daniel E.
Simon, Noah
[J]. AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (08) : 704 - 711
[7] Gelca R., 2007, PUTNAM
[8] HARMAN G, 1998, LONDON MATH SOC MONO, V18
[9] Light Subsets of N with Dense Quotient Sets
Hedman, Shawn
Rose, David
[J]. AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (07) : 635 - 641
[10] QUOTIENTS OF PRIMES
HOBBY, D
SILBERGER, DM
[J]. AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (01) : 50 - 52

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