Infinite Sets of Related b-wARH Pairs
| Autor: | Catalin Nitica, Viorel Nitica |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Open Journal of Discrete Mathematics. 10:1-3 |
| ISSN: | 2161-7643 2161-7635 |
| DOI: | 10.4236/ojdm.2020.101001 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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