Representation by sums of unlike powers

2021/05/27 by Jianya Liu, Liu, Jianya, Lilu Zhao +1
Mathematics · Computer Science · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.2105.12955

Abstract

It is proved that all sufficiently large integers n can be represented as n=x₁²+x₂³+⋯+x₁₃¹⁴, where x₁,…,x₁₃ are positive integers. This improves upon the current record with 14 variables in place of 13.

Citations

• Sums of Squares and Higher Powers

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