Mehta, RanjanaRanjanaMehtaSaha, JoydipJoydipSahaSengupta, IndranathIndranathSengupta2026-04-162026-04-162026-04-010092-787210.1080/00927872.2026.26401592-s2.0-105035169347https://repository.iitgn.ac.in/handle/IITG2025/35005We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent cones except the symmetric class, however, the symmetric class does satisfy Rossi’s conjecture.en-USAp�ry setAp�ry tableHilbert functionHilbert seriesNumerical semigroupsTangent coneArticle1532-4125WOS:001735405300001