Joerg Bruedern, Trevor D. Wooley
Published 2013-04-18, updated 2015-06-05Version 2
We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.
Comments: 18pp; Section 2 revised to address referee comments
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