Infinite Sets of Solutions and Almost Solutions of the Equation <i>N</i>⋅<i>M</i>= <i>reversal</i>(<i>N</i>⋅<i>M</i>) II

• 作者: Cem Ekinci
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: PALINDROME Numeration Base REVERSAL
• 年，卷（期）: 2020,（3）
• 页码范围: 69-73
• 页数: 5页
• 分类号: O17

摘要

Motivated by their intrinsic interest and by applications to the study of numeric palindromes and other sequences of integers, we discover a method for producing infinite sets of solutions and almost solutions of the equation <em><span style="color:#000000;">N</span></em><span style="white-space:nowrap;"><span style="color: rgb(0, 0, 0);" white-space:normal;background-color:#d46399;"=""><span style="white-space:nowrap;color:#000000;"><span style="white-space:nowrap;">&#8901;</span></span></span><em><span style="color:#000000;">M</span></em><span style="color:#000000;"> = </span><em><span style="color:#000000;">reversal</span></em><span style="color:#000000;"> (</span><span style="white-space:normal;color:#000000;"><em>N</em></span><span style="color: rgb(0, 0, 0);" white-space:normal;background-color:#d46399;"=""><span style="white-space:nowrap;color:#000000;"><span style="white-space:nowrap;">&#8901;</span></span></span><em><span style="color:#000000;">M</span></em></span><span style="white-space:nowrap;color:#000000;">)</span><span style="white-space:nowrap;"></span>, our results are valid in a general numeration base <em>b</em> > 2.