ZETA-FUNCTIONS

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相关领域：理学更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>
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Zeta-Functions of Curves of Genus 3 over Finite Fields
《Acta Mathematica Sinica,English Series》2010年第11期2223-2230,共8页Fei YU Hong Xi TONG 
Supported by Innovation Fund of Shanghai University (Grant No.A.10-0101-08-407); Shanghai Education Commission,Foundation for Excellent Young High Education Teacher of China (Grant No.B.37-0101-08-006)
In this paper, we determine zeta-functions of some curves of genus 3 over finite fields by gluing three elliptic curves based on Xing＇s research, and the examples show that there exists a maximal curve of genus 3 ove...
关键词：Elliptic curves ZETA-FUNCTIONS Jacobian varieties maximum curves 
Dedekind zeta-functions and Dedekind sums
《Science China Mathematics》2002年第8期1059-1065,共7页陆洪文 焦荣政 纪春岗 
This work was supported by the National Natural Science Foundation of China (Grant No. 10171076).
In this paper we use Dedekind zeta functions of two real quadratic number fields at -1 to denote Dedekind sums of high rank. Our formula is different from that of Siegel’s. As an application, we get a polynomial repr...
关键词：QUADRATIC number fields  DEDEKIND ZETA functions  DEDEKIND sums. 
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