@article{ALCO_2026__9_4_1139_0, author = {Marques, Adler and Mendoza, Erik and Quoos, Luciane and Tizziotti, Guilherme}, title = {A closed formula for the {Geil-Matsumoto} bound on numerical semigroups via {Ap\'ery} sets}, journal = {Algebraic Combinatorics}, pages = {1139--1155}, year = {2026}, publisher = {The Combinatorics Consortium}, volume = {9}, number = {4}, doi = {10.5802/alco.503}, language = {en}, url = {https://alco.centre-mersenne.org/articles/10.5802/alco.503/} }