2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158438The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded Betti numbers in its minimal free resolution. In the case of level algebras of codimension three, Zanello has proposed a stronger conjecture. We prove this conjecture for the case of codimension three graded Gorenstein algebras.A few minor revisions. To appear in Comm. in AlgebraCommutative Algebra13H15 (primary); 13D02, 13D40, 13E10 (secondary)text