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## The Solutions' Number of Quadratic Equations with n Variables over a Finite Field

LI Shi-yun, YAN Lin(Department of Mathematics, Wenshan Teachers' College, Wenshan,663000,China)
Let p be an odd prime,F_p be the finite field with p elements, and natural number n1.By rank r of equations, quadratic equations with n variables over F_p is assorted. If r=1,there are solutions for quadratic equations with n variables over F_p besides (p-1)/2 equations. If r1,there are solutions for quadratic equations with n variables over F_p. The numbers of solutions of quadratic equations with n variables over F_p have been given for every class equation.
【Fund】： 云南省教育科研课题资助项目(2000308).
【CateGory Index】： O156.1
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 【Co-citations】
 Chinese Journal Full-text Database 9 Hits
 1 YANG Ji ming (Dept.Math.,Yuxi Teachers College,Yuxi 653100,Yunnan,China);The number of solutions for the equation or the system equations over a finite field[J];JOURNAL OF BAOJI COLLEGE OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION);2000-03 2 YANG Ji-ming (Dept. of Mathematices, Yuxi Teachers College, 653100 Yuxi, Yunnan);On the Number of Solutions of Some Equations over a Finite Field[J];Journal of Heze Teachers College;2000-02 3 Yang Jiming (Dept.of Mathematices,Yuxi Teachers' College,Yuxi 653100);A Class of the Equation System Over the Finite Field[J];ACADEMIC FORUM OF NAN DU;2000-03 4 WANG Wen-song, SUN Qi(College of Mathematics, Sichuan University, Chengdu 610064 China);A Note on Number of Solutions of Certain SpecialEquations over Finite Fields[J];Journal of Sichuan University (Natural Science Edition);2005-02 5 WANG Wensong SUN Qi College of Mathematics, Sichuan University, Chengdu 610064, China. College of Mathematics, Sichuan University, Chengdu 610064, China.;AN EXPLICIT FORMULA OF SOLUTION OF SOME SPECIAL EQUATIONS OVER A FINITE FIELD[J];Chinese Annals of Mathematics,series A;2005-03 6 CHEN Guo-hui~1,LIU Hua-ning~2 (1.Department of Mathematics,Hainan Normal University,Haikou 571158,China;2.Department of Mathematics,Northwest University,Xi′an 710069,China);On a equation in a finite field and the calculating formula for its number of solutions[J];Journal of Northwest University(Natural Science Edition);2004-03 7 Yang Zong-wen (Department of Mathematics,Yunnan University,Kunming 650091,China)[KH*4/5];The solutions of equations over a finite filed[J];Journal of Yunnan University (Natural Sciences);2005-S3 8 ZHONG Yu-lin(Department of Mathematics,Hainan Software Vocational College,Qionghai 571400,Hainan,China);Number of Solutions of Equations over Finite Field of Odd Characteristic[J];Journal of Hebei North University(Natural Science Edition);2007-02 9 Liu Guangming(Computer Department of H e'nan University);ON THE NUMBERING PROBLEM OF SOLVING GROUPS OF SOME EOUOTIONSONA FINITE FIELDG[J];JOURNAL OF ZHENGZHOU INSTITUTE OF LIGHT INDUSTRY;1995-01
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