摘要： Assume that M is a compact connected unitary 2n-dimensional manifold and admits a nontrivial circle action preserving the given complex structure. If the first Chern class of M equals to k0x for a certain 2nd integral cohomology class x with | k0 | ≥ n + 2, and its first integral cohomology group is zero,
this short paper shows that the Todd genus and Ak-genus of M vanish, k ≥ 2.