Sets of integers containing no n terms in geometric progression

Sets of integers containing no n terms in geometric progression
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不包含几何级数中的 n 项的整数集

DOI:
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发表时间:
1969
影响因子:
0.5
通讯作者:
J. Riddell
J. Riddell
中科院分区:
数学4区
文献类型:
--
作者:
J. Riddell

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R. A.兰金[3]考虑了对每个整数n 3求一个不含n项几何级数的正整数序列的问题。他构造了具有渐近密度的集合Bn,例如A3 = 0·71975,A4 = 0·8626,An→1 as n → ∞。
R. A. Rankin [3] considered the problem of finding, for each integer n ≧ 3, a sequence of positive integers containing no n−term geometric progression. He constructed such sets Bn having asymptotic density For example A3 ≑ 0·71975, A4 ≑ 0·8626, and An→1 as n → ∞.