%0 Journal Article %T On Waring's problem: two squares, two cubes and two sixth powers %A Trevor D. Wooley %J Mathematics %D 2012 %I arXiv %X We investigate the number of representations of a large positive integer as the sum of two squares, two positive integral cubes, and two sixth powers, showing that the anticipated asymptotic formula fails for at most O((log X)^3) positive integers not exceeding X. %U http://arxiv.org/abs/1212.6150v2