On a Diophantine Inequality with s Primes

Let 2<c<δ. In this study, for prime numbers p1,…,ps and a sufficiently large real number N, we prove the Diophantine inequality p1c+⋯+psc−N<N−9/10cδ−c, where δ=294−210s/123−97s and s≥5. When s=5, this result improves a previous result.

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Bibliographic Details
Main Authors: Xiaofei Yan, Lu Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/3303476
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