On the structure of partition which the difference of their representation function is a constant
Sign Up to like & getrecommendations! Published in 2021 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-020-00349-8
Abstract: Let $$\mathbb {N}$$ N be the set of nonnegative integers. For any set $$A \subset \mathbb {N}$$ A ⊂ N , let $$R_1(A, n)$$ R 1 ( A , n ) , $$R_2(A, n)$$ R… read more here.
Keywords: representation function; structure partition; structure; partition difference ... See more keywords
PARTITIONS OF $\mathbb {Z}_m$ WITH IDENTICAL REPRESENTATION FUNCTION
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972720000945
Abstract: Abstract For a given set $S\subseteq \mathbb {Z}_m$ and $\overline {n}\in \mathbb {Z}_m$ , let $R_S(\overline {n})$ denote the number of solutions of the equation $\overline {n}=\overline {s}+\overline {s'}$ with ordered pairs $(\overline {s},\overline {s'})\in… read more here.
Keywords: mathbb identical; representation function; overline overline; partitions mathbb ... See more keywords