Publication Date:
2015-11-21
Description:
We establish an essentially optimal estimate for the ninth moment of the exponential sum having argument $\alpha x^3+\beta x$ . 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.
Print ISSN:
0024-6093
Electronic ISSN:
1469-2120
Topics:
Mathematics