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- W67990421 abstract "Concave compositions are ordered partitions whose parts are decreasing towards a central part. We study the distribution modulo $a$ of the number of concave compositions. Let $c(n)$ be the number of concave compositions of $n$ having even length. It is easy to see that $c(n)$ is even for all $ngeq1$. Refining this fact, we prove that $$#{n 2$ and at least two distinct values of $rin{0,1,dotsc,a-1}$, $$#{n frac{log_2log_3 X}{a}.$$ We obtain similar results for concave compositions of odd length." @default.
- W67990421 created "2016-06-24" @default.
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- W67990421 creator A5091135344 @default.
- W67990421 date "2014-07-04" @default.
- W67990421 modified "2023-09-27" @default.
- W67990421 title "Congruences of concave composition functions" @default.
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