A paucity problem for certain triples of diagonal equations

Authors :: Bruedern, Joerg
Wooley, Trevor D.
Publication Year :: 2021
Abstract: We consider certain systems of three linked simultaneous diagonal equations in ten variables with total degree exceeding five. By means of a complification argument, we obtain an asymptotic formula for the number of integral solutions of this system of bounded height that resolves the associated paucity problem.<br />Comment: 15 pages