Author

Takao Komatsu

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Preprint Aug 2026

$p$-numerical semigroup of the sequence of consecutive odd integers

We prove the $p$-Frobenius problems proposed as Conjectures 7.1 and 7.5 developed by T. Komatsu and R. Pandey (Bull. Korean Math. Soc. 2025;62:1397--1409.) for two families of consecutive odd integers. For integers $r,L,n\ge0$, the bounded restricted partition function $p_{\le r}^{(\le L)}(\le n)$ counts partitions of...

Takao Komatsu, Sungjin Hyun, Kyunghwan Song · 0 citations