Decoupling for Perturbed Cones and the Mean Square of $|\zeta (\frac 12+it)|$
Author:
Affiliation:
1. School of Mathematics, Institute for Advanced Study, Princeton, NJ, USA
2. Dunfermline, Scotland
Funder
National Science Foundation
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
http://academic.oup.com/imrn/article-pdf/2018/17/5219/25682269/rnx009.pdf
Reference12 articles.
1. “On the multilinear restriction and Kakeya conjectures.”;Bennett,;Acta Mathematica,2006
2. “Decoupling, exponential sums and the Riemann Zeta Function.”;Bourgain,;Journal of the American Mathematical Society,2017
3. “The proof of the $\ell^2$ decoupling conjecture.”;Bourgain,;Annals of Mathematics. Second Series,2015
4. “Bounds on oscillatory integral operators based on multilinear estimates.”;Bourgain,;Geometric and Functional Analysis,2011
5. Van der Corput's Method of Exponential Sums
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