2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194910We calculate the total flux of Hawking radiation from Kerr-(anti)de Sitter black holes by using gravitational anomaly method developed in gr-qc/0502074. We consider the general Kerr-(anti)de Sitter black holes in arbitrary $D$ dimensions with the maximal number [D/2] of independent rotating parameters. We find that the physics near the horizon can be described by an infinite collection of $(1+1)$-dimensional quantum fields coupled to a set of gauge fields with charges proportional to the azimuthal angular momentums $m_i$. With the requirement of anomaly cancellation and regularity at the horizon, the Hawking radiation is determined.12 pages; A typo in the abstract corrected; The version to be publishedHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext