Abstract:
We discuss the recent work of C. Demeter, L. Guth and the author on the proof of the Vinogradov Main Conjecture using the decoupling theory for curves.
Citation:
J. Bourgain, “On the Vinogradov mean value”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 36–46; Proc. Steklov Inst. Math., 296 (2017), 30–40
\Bibitem{Bou17}
\by J.~Bourgain
\paper On the Vinogradov mean value
\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 296
\pages 36--46
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3787}
\crossref{https://doi.org/10.1134/S0371968517010034}
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\elib{https://elibrary.ru/item.asp?id=28905719}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 296
\pages 30--40
\crossref{https://doi.org/10.1134/S0081543817010035}
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Linking options:
https://www.mathnet.ru/eng/tm3787
https://doi.org/10.1134/S0371968517010034
https://www.mathnet.ru/eng/tm/v296/p36
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