In connection with the results of G. Song and J. Huang as well as G. Song and L. Liao, concerning the factorization of entire functions, we shall prove the existence of another entire function which is prime but whose square is not pseudo-prime, by making use of Y. Noda's argument.
In this paper, we note that the Margolis homology H(H*(BG; Z/p), Qn) relates deeply the Morava K-theory K(n)*(BG). In particular we compute K(n)*(BD) for the dihedral group D by using Atiyah-Hirzebruch spectral sequence.
We shall give a rigorous definition of singular solutions of ordinary differential equations of the form F(x, y, dy/dx)=0. Our main result clarifies the geometric meaning of such a definition. All arguments are elementary.
Which surfaces in the Euclidean space E3 with constant mean curvature are of finite type? We show that a 3-type surface has non constant mean curvature. Moreover, among surfaces of revolution with constant mean curvature the only ones which are of finite type are: the plane, the sphere, the catenoid and the circular cylinder.