A System of Two Diophantine Inequalities with Primes

Let 1<d<c<128/119, 1<α<β<61−d/c. In this paper, we prove that there exist positive real numbers N10 and N20 depending on c,d,α,β such that for all real numbers N1>N10, N2>N20 and α≤N2/N1d/c≤β, the system of two Diophantine inequalities p1c+⋯+p6c−N1<N1−1/c128/119−clog109N1,...

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Bibliographic Details
Main Authors: Xue Han, Huafeng Liu, Deyu Zhang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6613947
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