国家自然科学基金(19625102)

作品数：3被引量：8H指数：1
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相关期刊：《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《Tsinghua Science and Technology》更多>>
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Distribution of Primitive λ-Roots of Composite Moduli II
《Chinese Annals of Mathematics,Series B》2006年第5期549-552,共4页Zhiyong ZHENG Todd COCHRANE 
Project supported by the National Natural Science Foundation of China (No.19625102);the 973 Project of the Ministry of Science and Technology of China.
We improve estimates for the distribution of primitive λ-roots of a composite modulus q yielding an asymptotic formula for the number of primitive A-roots in any interval I of length ｜I｜ 〉〉 q^1/2＋ε Similar resu...
关键词：λ-Roots Primitive roots 
Bounds for Certain Character Sums
《Tsinghua Science and Technology》2003年第5期553-556,共4页杨锦 郑志勇 
Supported by the National Natural Science Foundationof China(No.196 2 5 10 2 ) and partially by the National"973"Project of China
This paper shows a connection between exponential sums and character sums. In particular, we introduce a character sum that is an analog of the classical Kloosterman sums and establish the analogous Weil-Estermann's ...
关键词：exponential sums character sums Kloosterman sums 
Upper bounds on a two-term exponential sum被引量：8
《Science China Mathematics》2001年第8期1003-1015,共13页Todd COCHRANE 郑志勇 
Tsinghua University and the NNSF of China for supporting his visit to China during the Fall of 2000;This work was supported by the National Natural Science Foundation of China (Grant No. 19625102).
We obtain upper bounds for mixed exponential sums of the type $S(\chi ,f,p^m ) = \sum\nolimits_{x = 1}^{p^n } {\chi (x)e} _{p^m } (ax^n + bx)$ where pm is a prime power with m? 2 and X is a multiplicative character (m...
关键词：exponential sums primitive character weil’sbound 
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