2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100930Second-order automorphic forms are similar to the usual automorphic forms but have a weaker automorphy condition. We answer a question of Zagier and find the dimensions of spaces of holomorphic, even weight, second-order forms. We also establish a cohomological interpretation.v2. Very minor changes. 35 pagesNumber Theory11F12 (Primary) 11F72, 11F75 (Secondary)The dimensions of spaces of holomorphic second-order automorphic forms and their cohomologytext