Vinogradov mean value theorem

expositions

• Wooley, Trevor D. “Translation Invariance, Exponential Sums, and Waring’s Problem.” arXiv:1404.3508 [math], April 14, 2014. http://arxiv.org/abs/1404.3508.

articles

• Raphael S. Steiner, Effective Vinogradov's mean value theorem via efficient boxing, http://arxiv.org/abs/1603.02536v1
• D. R. Heath-Brown, A New $k$-th Derivative Estimate for Exponential Sums via Vinogradov's Mean Value, http://arxiv.org/abs/1601.04493v3
• Bourgain, Jean, Ciprian Demeter, and Larry Guth. “Proof of the Main Conjecture in Vinogradov’s Mean Value Theorem for Degrees Higher than Three.” arXiv:1512.01565 [math], December 4, 2015. http://arxiv.org/abs/1512.01565.