# Efficient boxing for a mean value in the Bombieri Iwaniec method

One of the nice applications of decoupling is Bourgain’s record towards Lindelöf:

https://arxiv.org/pdf/1408.5794.pdf

Wooley has developed some techniques known as efficient congruencing which allow one to obtain estimates also derived from decoupling.

Lets call ’efficient boxing’ using Wooley’s efficient congruencing methods with archimedian metric instead of p-adic.

My question is: It is possible to use efficient boxing to recover the mean value estimate from the above Bourgain paper?

https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s2-39.3.385

so a similar question: Can Wooley’s innovations be combined with Watt’s ideas to recover Bourgain’s result?