DIOPHANTINE

作品数:69被引量:54H指数:3
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相关领域:理学自动化与计算机技术更多>>
相关作者:乐茂华邓自立石莹徐广善蔡迎春更多>>
相关机构:湛江师范学院黑龙江大学山东师范大学华中科技大学更多>>
相关期刊:《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《哈尔滨师范大学自然科学学报》《Science Bulletin》更多>>
相关基金:国家自然科学基金广东省自然科学基金黑龙江省自然科学基金广东省教育厅自然科学基金更多>>
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Diophantine inequalities over Piatetski-Shapiro primes
《Frontiers of Mathematics in China》2021年第3期749-770,共22页Jing HUANG Wenguang ZHAI Deyu ZHANG 
The authors would like to express their gratitude to the referee for his or her careful reading and valuable suggestions;This work was supported by the National Natural Science Foundation of China(Grant Nos.11771256,11971476).
Let c>1 and 0<γ<1.We study the solubility of the Diophantine inequality∣p^(c)_(1)+p^(c)_(2)+…+p^(c)_(s)−N∣<(log N)^(−1) in Piatetski-Shapiro primes p_(1),p_(2),…,p_(s) of the form pj=[m^(1/γ)]for some m∈ℕ,and i...
关键词:Diophantine inequalities Piatetski-Shapiro primes exponential sums additive problems 
On Diophantine approximation with one prime and three squares of primes
《Frontiers of Mathematics in China》2019年第4期761-779,共19页Wenxu GE Feng ZHAO Tianqin WANG 
The authors thank the referees for their time and comments. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11871193, 11471112);the Key Research Project of Henan Province Higher Education (No. 17A110009).
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 infinitely many solutions in primes pj, j = 1, 2,3,4...
关键词:DIOPHANTINE inequalities PRIMES Davenport-Heilbronn met HOD SIEVE methods 
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