Subconvexity in inhomogeneous Vinogradov systems

2022/02/28 by Trevor D. Wooley, Wooley, Trevor D. · 1 citation
Mathematics · #Limits and Structures in Graph Theory #Analytic Number Theory Research #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2202.14003

Abstract

When k and s are natural numbers and \mathbf h∈ \mathbb Z^k, denote by J_s,k(X;\mathbf h) the number of integral solutions of the system ∑_i=1^s(x_i^j-y_i^j)=h_j (1≤ j≤ k), with 1≤ x_i,y_i≤ X. When s

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