DIOPHANTINE

作品数：69被引量：54H指数：3
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相关领域：理学自动化与计算机技术更多>>
相关作者：乐茂华邓自立石莹徐广善蔡迎春更多>>
相关机构：湛江师范学院黑龙江大学山东师范大学华中科技大学更多>>
相关期刊：《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《哈尔滨师范大学自然科学学报》《Science Bulletin》更多>>
相关基金：国家自然科学基金广东省自然科学基金黑龙江省自然科学基金广东省教育厅自然科学基金更多>>
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The diophantine equation xy+yz+zx=m
《Chinese Science Bulletin》1999年第12期1093-1095,共3页CAI Tianxin and JIAO Rongzhen Department of Mathematics , Zhejiang University, Hangzhou 310037, China Institute of Mathematics , Tongji University, Shanghai 200092, China 
Under the generalized Riemann hypothesis, it is proved that the Diophantine equation xy + yz + zx = m always has a solution except for 18 positive integers m.
关键词：DIOPHANTINE equation form CLASS GROUP ideal CLASS GROUP generalized RIEMANN hypothesis. 
Diophantine equation x^2 + 2~m =y^n被引量：7
《Chinese Science Bulletin》1997年第18期1515-1517,共3页LE MaohuaDepartment of Mathematics, Zhanjiang Teachers College, Zhanjiang 524048, China 
LET Z,N,Q be the sets of integers, positive integers and rational numbers, respectively. The solutions (x, y, m, n) of the exponential Diophantine equation X^2+2~m=y^n,x,y,m,n∈N,2y,n<2 (1)are connected with many q...
关键词：EXPONENTIAL DIOPHANTINE equation POSITIVE INTEGER solution Baker’s method. 
Equations of real quadratic fields and semi-simple and minimal continued fractions被引量：2
《Chinese Science Bulletin》1995年第21期1761-1765,共5页张贤科 
the National Natural Science Foundation of China.
By the theory of semi-simple (generalized) continued fractions, the Diophantine equation x^2-dy^2=c (1) will be studied, and simple criteria for solvability and explicit sets of solutions will be given.These could be ...
关键词：QUADRATIC field DIOPHANTINE equation continued fraction. 
SOLUTIONS OF THE DIOPHANTINE EQUATIONS RELATED TO REAL QUADRATIC FIELDS
《Chinese Science Bulletin》1992年第11期885-889,共5页张贤科 
Let m be a positive square free （rational）integer, c an integer. The integer solutions of the equationhave close relation with the class numbers of real quadratic field Q (m1/2)and the real subfields of t...
关键词：QUADRATIC field DIOPHANTINE EQUATION class NUMBER 
ON DIOPHANTINE EQUATION x^3+y^3+z^3=n
《Chinese Science Bulletin》1988年第24期2007-2010,共4页孙琦 
Project supported by the National Natural Science Foundation of China
A particularly interesting equation is x^3 + y^3 + z^3=n. When n=α~3, there are the
关键词：DIOPHANTINE EQUATION 
KULKARNI'S QUESTION AND ERDS CONJECTURE
《Chinese Science Bulletin》1988年第22期1835-1840,共6页冯克勤 魏权龄 刘木兰 
R. Kulkarni has proposed the following question: For a given positive real number A and a natural number n, consider the numbers of the
关键词：nonlinear INTEGER PROGRAMMING Egyptin FRACTION DIOPHANTINE equation 
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