2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76469We express the number of lattice points inside certain simplices via Dedekind-Rademacher sums. As an application, we prove a conjecture of Kronheimer and Mrowka in the special case of Brieskorn spheres (with at most 4 singular fibers). This conjecture relates the Euler characteristic of the Seiberg-Witten-Floer homology to the Casson invariant.17 pages, Latex 2.09 with macro sec.sty (included)Differential GeometryNumber Theory58E15; 57M50; 11A99text