2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77056We discuss q-counterparts of the Gauss integrals, a new type of Gauss-Selberg sums at roots of unity, and q-deformations of Riemann's zeta. The paper contains general results, one-dimensional formulas, and remarks about the current projects involving the double affine Hecke algebras.amstexQuantum Algebratext