The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]

@article{Pierce2017TheVM,
  title={The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]},
  author={L. Pierce},
  journal={arXiv: Number Theory},
  year={2017}
}
  • L. Pierce
  • Published 2017
  • Mathematics
  • arXiv: Number Theory
  • This is the expository essay that accompanies my Bourbaki Seminar on 17 June 2017 on the landmark proof of the Vinogradov Mean Value Theorem, and the two approaches developed in the work of Wooley and of Bourgain, Demeter and Guth. 
    17 Citations

    References

    SHOWING 1-10 OF 161 REFERENCES
    On the Vinogradov mean value
    • 26
    • PDF
    The Cubic Case of Vinogradov's Mean Value Theorem --- A Simplified Approach to Wooley's "Efficient Congruencing"
    • 9
    • Highly Influential
    • PDF
    Vinogradov's mean value theorem via efficient congruencing
    • 104
    • Highly Influential
    • PDF
    Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
    • 149
    • Highly Influential
    • PDF
    The cubic case of the main conjecture in Vinogradov's mean value theorem
    • 83
    • PDF
    The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem
    • 24
    • PDF
    APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM
    • 19
    • PDF
    ON VINOGRADOV'S MEAN VALUE THEOREM
    • 54
    • Highly Influential
    • PDF
    A study guide for the l2 decoupling theorem
    • 26
    • PDF