IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...

We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. We show that local-global principles hold ...

Consider the regression y=f(x̃)+ε , where E(ε|x̃)=0 and the exact functional form of f is unknown, although we do know that f is homogeneous of known degree r. Using a local linear approach, we ...