%0 Journal Article
%T Infinite Sets of Related <i>b</i>-wARH Pairs
%A Catalin Nitica
%A Viorel Nitica
%J Open Journal of Discrete Mathematics
%P 1-3
%@ 2161-7643
%D 2020
%I Scientific Research Publishing
%R 10.4236/ojdm.2020.101001
%X Let b ¡Ý 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 ¡Ý 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.
%K Palindrome
%K Integer Number Theory
%K Numeration Base
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=96298