SOLUTIONS OF THE DIOPHANTINE EQUATIONS RELATED TO REAL QUADRATIC FIELDS  

SOLUTIONS OF THE DIOPHANTINE EQUATIONS RELATED TO REAL QUADRATIC FIELDS

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作  者:张贤科 

机构地区:[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, PRC

出  处:《Chinese Science Bulletin》1992年第11期885-889,共5页

摘  要: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 (m<sup>1/2</sup>)and the real subfields of the mth cyclotomic field Q (ζ<sub>m</sub>). Ankeny, Chowla, Hasse, S. -D. Lang, Takeuchi, Yokoi and Mollin in [1—7] obtained results of the class numbers by studying the

关 键 词:QUADRATIC field DIOPHANTINE EQUATION class NUMBER 

分 类 号:N[自然科学总论]

 

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