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Quasi-Diagonal Behaviour and Smooth Weyl Sums
Wooley, Trevor D.
Wooley, Trevor D.
2000-06
Citation:Wooley, Trevor D.; (2000). "Quasi-Diagonal Behaviour and Smooth Weyl Sums." Monatshefte für Mathematik 130(2): 161-170. <http://hdl.handle.net/2027.42/42452>
Abstract: Estimates are provided for small moments of exponential sums over smooth numbers substantially sharper than available hitherto. These bounds arise from the author’s recent breaking of “classical convexity” in Waring’s problem. The methods underlying these new estimates provide guidance on good choices of parameters in the new iterative methods for smaller exponents.