Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers

Adam J. Harper

We prove Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for the y-smooth numbers less than x, on the range log^{K}x \leq y \leq x. This improves on the range…