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An Additive Problem with Primes in Arithmetic Progressions 认领 引用
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作者 ZhenFengZHANG 《Acta Mathematica Sinica,English Series》 SCIE 2005年第1期155-168,共14页
In this paper, we extend a classical result of Hua to arithmetic progressionswith large moduli. The result implies the Linnik Theorem on the least prime in an arithmeticprogression.
关键词 Additive problem Prime Arithmetic progression Circle method
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SUFFICIENT CONDITIONS FOR THE SOLUBILITY OF ADDITIVE INVERSE EIGENVALUE PROBLEMS 认领 引用
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作者 Zhang Yuhai 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 2000年第S1期74-77,共4页
1 IntroductionLet Rn×n be the set of all n×n real matrices.Rn=Rn×1.Cn×ndenotes the set of all n×n complex matrices.We are interested in solving the following inverse eigenvalue prob-lems:Probl... 1 IntroductionLet Rn×n be the set of all n×n real matrices.Rn=Rn×1.Cn×ndenotes the set of all n×n complex matrices.We are interested in solving the following inverse eigenvalue prob-lems:Problem A (Additive inverse eigenvalue problem) Given an n×n real matrix A=(aij),and n distinct real numbers λ1,λ2,…,λn,find a real n×n diagonal matrix 展开更多
关键词 real SUFFICIENT CONDITIONS FOR THE SOLUBILITY OF ADDITIVE INVERSE EIGENVALUE PROBLEMS
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Some Results Concerning a Singular Intergal 认领 引用
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作者 QIAOJian-wei LINGFeng-cai ZHANGZhen-feng 《Chinese Quarterly Journal of Mathematics》 2004年第2期213-217,共5页
In this note, we present some detail estimates for the integral with general integer k, as well as a singular integral formed from it, which would be useful for some nonlinear additive problems of primes.
关键词 singular integral additive prime problem
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Diophantine inequalities over Piatetski-Shapiro primes 认领 引用
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作者 Jing HUANG Wenguang ZHAI Deyu ZHANG 《Frontiers of Mathematics in China》 SCIE CSCD 2021年第3期749-770,共22页
Let c>1 and 0<γ<1.We study the solubility of the Diophantine inequality∣pc1+pc2+…+pcs−N∣<(log N)−1 in Piatetski-Shapiro primes p1,p2,…,ps of the form pj=[m1/γ]for som... Let c>1 and 0<γ<1.We study the solubility of the Diophantine inequality∣pc1+pc2+…+pcs−N∣<(log N)−1 in Piatetski-Shapiro primes p1,p2,…,ps of the form pj=[m1/γ]for some m∈ℕ,and improve the previous results in the cases s=2,3,4. 展开更多
关键词 Diophantine inequalities Piatetski-Shapiro primes exponential sums additive problems
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