A Survey in Mean Value Theorems - CORE
Standard methods exist for translating mean value estimates such as those given in Theorem 1.1 into Weyl-type estimates for the exponential sum f(?), and we.
A GENERALIZATION OF VINOGRADOV'S MEAN VALUE THEOREM[5] T.D. Wooley, Multigrade efficient congruencing and Vinogradov's mean value theorem, Proc. London Math. Soc. (3), 111 (2015), no. 3, 519?560. The cubic case of the main conjecture in Vinogradov's mean value ...[9] T. D. Wooley, Vinogradov's mean value theorem via efficient congruencing, Annals of. Math. (2) 175 (2012), no. 3, 1575?1627. [10] T. D. Wooley ... Proof of the main conjecture in Vinogradov's Mean Value Theorem ...It is usual to prove that a function with a positive derivative is increasing by using the mean value theorem. Here we shall reverse the procedure. From a ...
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