Let b greater then or equal to 2 be a numeration base. A b-weak additive Ramanujan-Hardy (or\nb-wARH) number N is a non-negative integer for which there exists at least\none non-negative integer A, such that the sum of A and the sum of base b digits\nof N, added to the reversal of the sum, give N. We say that a pair of such\nnumbers are related of degrees d greater then or equal to 0 if their difference is d. We show for all\nnumeration bases an infinity of degrees d for which there exists an infinity of\npairs of b-wARH numbers related of degree d.
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