Factors of almost squares and lattice points on circles

被引:2
作者
Chan, Tsz Ho [1 ,2 ]
机构
[1] Victory Univ, Dept Arts & Sci, Memphis, TN 38111 USA
[2] White Stn High Sch, Memphis, TN 38117 USA
关键词
Factors; almost squares; Pell equations; lattice points; circle;
D O I
10.1142/S1793042115400205
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider a conjecture of Erdos and Rosenfeld and a conjecture of Ruzsa when the number is an almost square. By the same method, we consider lattice points of a circle close to the x-axis with special radii.
引用
收藏
页码:1701 / 1708
页数:8
相关论文
共 4 条
[1]   Factors of a perfect square [J].
Chan, Tsz Ho .
ACTA ARITHMETICA, 2014, 163 (02) :141-143
[2]  
Cilleruelo J, 2007, CRM PROC & LECT NOTE, V43, P241
[3]  
Erdos P, 1997, ACTA ARITH, V79, P353
[4]   ALMOST POWERS IN SHORT INTERVALS [J].
TURK, J .
ARCHIV DER MATHEMATIK, 1984, 43 (02) :157-166