The circle method and diagonal cubic forms

We use the Hardy-Littlewood circle method, in the form developed by Heath-Brown in 1996, to investigate the number of integer zeros of diagonal cubic forms. The results are subject to unproved hypotheses concerning certain Hasse-Weil L-functions. For six variables we show that there are O(P3+ε) zero...

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Bibliographic Details
Main Author: Heath-Brown, D
Format: Journal article
Language:English
Published: 1998