2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142536We prove the intersection of Igusa's Conjecture of [Igusa, J., "Lectures on forms of higher degree", Lect. math. phys., Springer-Verlag, 59 (1978)] and the Denef - Sperber Conjecture of [Denef, J. and Sperber, S., "Exponential sums mod p^n and Newton polyhedra", Bull. Belg. Math. Soc., suppl. (2001) 55-63] on nondegenerate exponential sums modulo p^m.Number TheoryAlgebraic Geometry11L07, 11S40 (Primary) 11L05 (Secondary)text