Vinogradov’s Mean Value Theorem via Efficient Congruencing
نویسنده
چکیده
We obtain estimates for Vinogradov’s integral which for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided. In particular, the conjectured asymptotic formula in Waring’s problem holds for sums of s kth powers of natural numbers whenever s > 2k + 2k − 3.
منابع مشابه
On Vinogradov’s Mean Value Theorem: Strongly Diagonal Behaviour via Efficient Congruencing
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