Quotients of Gaussian Primes

被引:9
|
作者
Garcia, Stephan Ramon [1 ]
机构
[1] Pomona Coll, Dept Math, Claremont, CA 91711 USA
来源
AMERICAN MATHEMATICAL MONTHLY | 2013年 / 120卷 / 09期
基金
美国国家科学基金会;
关键词
SETS;
D O I
10.4169/amer.math.monthly.120.09.851
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It has been observed many times, both in the MONTHLY and elsewhere, that the set of all quotients of prime numbers is dense in the positive real numbers. In this short note we answer the related question: "Is the set of all quotients of Gaussian primes dense in the complex plane?"
引用
收藏
页码:851 / 853
页数:3
相关论文
共 50 条
  • [1] QUOTIENTS OF PRIMES
    HOBBY, D
    SILBERGER, DM
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (01): : 50 - 52
  • [2] Quotients of primes in arithmetic progressions
    Micholson, Ace
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2012, 18 (02) : 56 - 57
  • [3] Gaussian primes
    Fouvry, E
    Iwaniec, H
    [J]. ACTA ARITHMETICA, 1997, 79 (03) : 249 - 287
  • [4] On the distribution of the digits of quotients of integers and primes
    Gambini, Alessandro
    Tonon, Remis
    Zaccagnini, Alessandro
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (02): : 279 - 295
  • [5] Quotients of primes in an algebraic number ring
    Sittinger, Brian D.
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2018, 24 (02) : 55 - 62
  • [6] CONTRACTED PRIMES OF THE COMPLETE RING OF QUOTIENTS
    CALL, FW
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 38 (03) : 373 - 375
  • [8] Angles of Gaussian primes
    Rudnick, Zeev
    Waxman, Ezra
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2019, 232 (01) : 159 - 199
  • [9] ANSWERS TO 2 QUESTIONS CONCERNING QUOTIENTS OF PRIMES
    STARNI, P
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1995, 102 (04): : 347 - 349
  • [10] Angles of Gaussian primes
    Zeév Rudnick
    Ezra Waxman
    [J]. Israel Journal of Mathematics, 2019, 232 : 159 - 199