2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62084We give the trace formulas of weight $k$ for cocompact, torsion-free discrete subgroups of $SU(2, 1)$ and prove the analogue of the Riemann hypothesis on compact complex surfaces $M$ with $c_1^2(M)=3 c_2(M)$, where $c_i(M)$ is the $i$-th Chern class of $M$, $c_2(M)$ is a multiple of three and $c_2(M)>0$.63 pagesNumber TheoryAlgebraic Geometry11F72, 11M36, 14J29, 22E40text