2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123314In this paper we aim to generalize the results in Baier and Zhao and develop a general formula for large sieve with characters to powerful moduli that will be an improvement to the result of Zhao.Number Theory11B57, 11L07, 11L40Large Sieve Inequalities for Characters to Powerful Modulitext