Mean Value Estimates for Odd Cubic Weyl Sums
نویسنده
چکیده
We establish an essentially optimal estimate for the ninth moment of the exponential sum having argument αx + βx. The first substantial advance in this topic for over 60 years, this leads to improvements in Heath-Brown’s variant of Weyl’s inequality, and other applications of Diophantine type.
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تاریخ انتشار 2014