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An extended Vinogradov’s mean value theorem
Transactions of the American Mathematical SocietyIn this paper, we provide novel mean value estimates for exponential sums related to the extended main conjecture of Vinogradov’s mean value theorem, by developing the Hardy-Littlewood circle method together with a refined shifting variables argument. Let d ≥ 2 d\geq 2 be a natural number and α
Oh, Changkeun, Yeon, Kiseok
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502. [C. 1. e. g.] Note on the Teaching of the Mean Value Theorem and Its Extensions
, 1917 H. J. Priestley
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On a mean-value theorem concerning differences of two $K$-th powers [PDF]
, 1989 Wolfgang Mueller, Werner Georg Nowak
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Some Applications of Cauchy’s Mean Value Theorem
Asia Pacific Journal of Mathematics, 2020 German Lozada-Cruz
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A Difference Method of Extending Edge Based on the Mean Value Theorem and the Minimax Principle and Its Application [PDF]
, 2016 Zhongxiang Xiao +2 more
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Mean value theorems for a class of arithmetic functions [PDF]
, 1971 H. Halberstam, H.-E. Richert
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On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing
, 2014 Kevin Ford, Trevor D. Wooley
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A numerical solution of the NS equations based on the mean value theorem with applications to aerothermodynamics [PDF]
, 2006 Frederick Ferguson, Gafar Elamin
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Mean-value theorems of multiplicative functions on additive arithmetic semigroups [PDF]
, 2004 Wenbin Zhang
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