The Cubic Case of Vinogradov's Mean Value Theorem --- A Simplified Approach to Wooley's "Efficient Congruencing"

Abstract

This is an expository paper, giving a simplified proof of the cubic case of the main conjecture for Vinogradov's mean value theorem.

Since this only an expository paper there are no immediate plans to offer it for formal publication

References in corpus (3)

• The cubic case of the main conjecture in Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Translation invariance, exponential sums, and Waring's problem

Cited by in corpus (5)

• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• Decoupling for moment manifolds associated to Arkhipov--Chubarikov--Karatsuba systems
• A short proof of ${\ell }^2$ decoupling for the moment curve
• A bilinear proof of decoupling for the cubic moment curve
• Decoupling for fractal subsets of the parabola