Diameter-free estimates for the quadratic Vinogradov mean value theorem

Let s≥3 be a natural number, let ψ(x) be a polynomial with real coefficients and degree d≥2, and let A be some large, non-empty, finite subset of real numbers. We use Es,2(A) to denote the number of solutions to the system of equations <br><br> ∑i=1s(ψ(xi)−ψ(xi+s))=∑i=1s(xi−xi+s)=0, <...

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Bibliographic Details
Main Author: Mudgal, A
Format: Journal article
Language:English
Published: London Mathematical Society 2022