2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124587By introducing the generalized uncertainty principle (GUP) on the quantum state density, we calculate the statistical entropy of a scalar field on the background of (2+1)-dimensional de Sitter space without artificial cutoff. The desired entropy proportional to the horizon perimeter is obtained.11 pages. Change in title. The improved version published in J. Korean Phys. SocGeneral Relativity and Quantum Cosmologytext