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| Diophantine Inequality by Unlike Powers of Primes* |
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Citation： |
Li ZHU.Diophantine Inequality by Unlike Powers of Primes*[J].Chinese Annals of Mathematics B,2022,43(1):125~136 |
| Page view： 334
Net amount： 347 |
Authors： |
Li ZHU; |
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| Abstract： |
Suppose that λ1, · · · , λ5 are nonzero real numbers, not all of the same sign,satisfying that λ1/λ2 is irrational. Then for any given real number η and ε > 0, the inequality|λ1p1 + λ2p22 + λ3p33 + λ4p44 + λ5p55 + η| < max1≤j≤5 pjj ?19/756+ε has infinitely many solutions in prime variables p1, · · · , p5. This result constitutes an improvement of the recent results. |
Keywords： |
Prime, Davenport-Heilbronn method, Diophantine inequalities |
Classification： |
11P32, 11D75 |
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