%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 <em>b </em>¡Ý 2 be a numeration base. A <em>b</em>-weak additive Ramanujan-Hardy (or <em>b</em>-wARH) number <em>N</em> is a non-negative integer for which there exists at least one non-negative integer <em>A</em>, such that the sum of <em>A</em> and the sum of base <em>b</em> digits of <em>N</em>, added to the reversal of the sum, give <em>N</em>. We say that a pair of such numbers are related of degrees <em>d</em> ¡Ý 0 if their difference is <em>d</em>. We show for all numeration bases an infinity of degrees <em>d</em> for which there exists an infinity of pairs of <em>b</em>-wARH numbers related of degree <em>d</em>.
%K Palindrome
%K Integer Number Theory
%K Numeration Base
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=96298