2024/09/04 by Komatsu, Takao
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2409.02394
Recently, the concept of the p-numerical semigroup with p-symmetric properties has been introduced. When p=0, the classical numerical semigroup with symmetric properties is recovered. In this paper, we further study the p-numerical semigroup with p-almost symmetric properties. We also give p-generalized formulas of Watanabe and Johnson, and introduce p-Arf numerical semigroup and study its properties.