Frontiers of Mathematics in China >
On Diophantine approximation with one prime and three squares of primes
Received date: 17 Dec 2018
Accepted date: 18 Jun 2019
Published date: 15 Aug 2019
Copyright
Let λ1, λ2, λ3, λ4 be non-zero real numbers, not all of the same sign, w real. Suppose that the ratios λ1/λ2, λ1/λ3 are irrational and algebraic. Then there are in.nitely many solutions in primes pj, j =1, 2, 3, 4, to the inequality . This improves the earlier result.
Wenxu GE , Feng ZHAO , Tianqin WANG . On Diophantine approximation with one prime and three squares of primes[J]. Frontiers of Mathematics in China, 2019 , 14(4) : 761 -779 . DOI: 10.1007/s11464-019-0776-6
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