HUA

作品数：317被引量：718H指数：12
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Singular Value Inequalities of Matrix Sum in Log-ma jorizations
《Acta Mathematica Sinica,English Series》2023年第2期375-386,共12页Bo Yan XI Fu Zhen ZHANG 
Xi’s work was partially supported by the National Natural Science Foundation of China(Grant No.11361038)。
We show some upper bounds for the product of arbitrarily selected singular values of the sum of two matrices.The results are additional to our previous work on the lower bound eigenvalue inequalities of the sum of two...
关键词：EIGENVALUE Hoffman minimax theorem Hua determinant inequality log-majorization majorization Minkowski determinant inequality singular value Wielandt minimax theorem 
On the Curvature Conjecture of Hua Loo-Keng
《Acta Mathematica Sinica,English Series》2012年第2期295-298,共4页Qi Keng LU 
Supported by National Natural Science Foundation of China(Grant Nos.10671194 and 10731080)
It is proved that both the holomorphic sectional and the bisectional curvatures of the conformal Bergman metric
关键词：Conformal metric CURVATURE 
Hua's Theorem with s Almost Equal Prime Variables
《Acta Mathematica Sinica,English Series》2009年第7期1145-1156,共12页Qing Feng SUN Heng Cai TANG 
Supported by National'Natural Science Foundation of China (Grant No. 10701048)
It is proved unconditionally that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented as the sum of s almost equal k-th powers of prime numbers for 2 ≤ k ≤ 10...
关键词：the additive theory of prime numbers short intervals circle method 
Hua's Theorem on Five Almost Equal Prime Squares被引量：1
《Acta Mathematica Sinica,English Series》2006年第3期907-916,共10页Guang Shi L 
Supported by Tianyuan Mathematics Foundation(Grant No.10526028);the NSF of China(Grant Nos.10301018,10571107)
In this paper we sharpen Hua＇s result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2＋p2^2＋p3^2＋p4^2＋p5^2,with │pj-√N/5│≤U=N^1/2-1/28＋ε,where pj are primes.
关键词：Additive theory of prime numbers Circle method iterative method 
The Exceptional Set in Hua's Theorem for Three Squares of Primes被引量：6
《Acta Mathematica Sinica,English Series》2005年第2期335-350,共16页JianYaLIU TaoZHAN 
Supported by The National Science Foundation(Grants #10125101 and #10131010);by a Ministry of Education Major Grant Program in Sciences and Technology
It is proved that with at most O(N^(11/12+ε)) exceptions, all positiveintegers n ≤ N satisfying some necessary congruence conditions are the sum of three squares ofprimes. This improves substantially the previous re...
关键词：waring-goldbach problem circle method iterative method 
Hua's Theorem on Prime Squares in Short Intervals被引量：2
《Acta Mathematica Sinica,English Series》2000年第4期669-690,共22页Jianya Liu Tao Zhan Department of Mathematics. Shandong University. Jinan 250100. P. R. China 
Supported by MCSEC and the National Natural Science Foundation (Grant No. 19701019) ;Supported by MCSFC and the National Natural Science Foundation
It is proved that every large integer N≡5（mod24）can be written as N=p12+…+p52 with each prime pj satisfying |pJ-（N/5|）1/2≤N11/23...
关键词：Waring-Goldbach problem Hua’s theorem PRIME Circle method 
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