2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174564We give some estimates for the asymptotic orders of degenerating Eisenstein series for some families of degenerating punctured Riemann surfaces, which is motivated by the question identifying $L_{2}$-cohomology of the Takhtajan-Zograf metric that is originally asked by To and Weng.11 pages, the corrected versionComplex VariablesNumber Theory32G15text