Infinite Sets of Related <i>b</i>-wARH Pairs

• 作者: Catalin Nitica Viorel Nitica
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: PALINDROME INTEGER Number Theory NUMERATION Base
• 年，卷（期）: 2020,（1）
• 页码范围: 1-3
• 页数: 3页
• 分类号: O17

摘要

Let b ≥ 2 be a numeration base. A b-weak additive Ramanujan-Hardy (or b-wARH) number N is a non-negative integer for which there exists at least one non-negative integer A, such that the sum of A and the sum of base b digits of N, added to the reversal of the sum, give N. We say that a pair of such numbers are related of degrees d ≥ 0 if their difference is d. We show for all numeration bases an infinity of degrees d for which there exists an infinity of pairs of b-wARH numbers related of degree d.