Diophantine approximation with one prime and three squares of primes
Diophantine approximation with one prime and three squares of primes
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DOI：
10.1007/s11139-012-9426-2
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发表时间：
2012-09
期刊：
影响因子：
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通讯作者：
Zhixin Liu;Haiwei Sun
中科院分区：
文献类型：
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作者：
Zhixin Liu;Haiwei Sun
设λ 1，...，λ 4是满足λ 1/λ 2是无理数和代数数的非零真实的，η是真实的。本文证明了：对任意> 0，在p1，p2，p3，p4中有无穷多个解.这改进了之前的结果.
Abstract Let λ 1,…, λ 4 be non-zero real numbers satisfying that λ 1/λ 2 is irrational and algebraic, and η be a real number. In this note we prove that for any ϵ> 0 has infinitely many solutions in p 1, p 2, p 3, p 4. This gives an improvement of an earlier result.