相关b-wARH对的无限集

离散数学期刊(英文) Pub Date : 2020-01-01 DOI:10.4236/ojdm.2020.101001

Catalin Nitica, V. Nitica

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引用次数: 0

摘要

设b≥2为基数。b-weak添加剂Ramanujan-Hardy(或b-wARH) N是一个非负整数的存在至少一个非负整数,这样的总和的和基础的和b数字N,添加的逆转,给N我们说,把这些数字相关的度d≥0如果他们的区别是d。我们展示为所有数字的读法基地无穷多的度d存在无穷多的双b-wARH数字相关程度的d。

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Infinite Sets of Related b-wARH Pairs

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.

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来源期刊

离散数学期刊(英文)

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127

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