On pairs of equations in one prime, two prime squares and powers of 2

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• 作者：Liqun Hu ^{huliqun@ncu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Li Yang ; ^{yangli46@ncu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11P32 ; 11P05 ; 11P55
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：160
• 期：Complete
• 页码：451-462
• 全文大小：271 K

文摘

It was proved that, for k=332$k=332$, every pair of large positive odd integers satisfying some necessary conditions can be represented in the form of a pair of one prime, two prime squares and k powers of 2. In this paper, we sharpen the value of k to 128.