期刊文献+

一类含参数的四次Thue方程 被引量:2

A Parametric Family of Quartic Thue Equations
原文传递
导出
摘要 本文将给出一类含参数的四次Thue方程x^4-4cx^3y+(6c+2)x^2y^2+4cxy^3+y^4=96c+169,c>0的本原正整数解(x,y). In this paper,we give all primitive solutions of a parameterized family of quartic Thue equations x^4- 4cx^3y +(6c + 2)x^2y^2 + 4cxy^3 + y^4 = 96c + 169,c〉0.
出处 《数学进展》 CSCD 北大核心 2010年第4期477-490,共14页 Advances in Mathematics(China)
基金 国家自然科学基金(No.10571180 No.10771058) 湖南科技大学博士启动基金(No.E509177)
关键词 Legendre定理的推广 Baker-Wstholz定理 Thue方程 extension of classical Legendre's theorem Baker-Wiistholz's theorem Thue equation
  • 相关文献

参考文献19

  • 1Thue, A., Uber Annaherungswerte algebraischer Zahlen, J. Reine Angew. Math., 1909, 135: 284-305.
  • 2Baker, A., Contributions to the theory of Diophantine equations I, On the representation of integers by binary forms, Philos. Trans. Roy. Soc. London Set. A, 1968, 263: 273-291.
  • 3Pethe, A., Schulenberg, R., Effectives LSsen von Thue Gleichungen, Publ. Math. Debrecen, 1987, 34: 189-I96.
  • 4Tzanakis, N., Weger, B.M.M. de, On the Practical Solution of the Thue Equation, J. Number Theory, 1989, 31: 99-132.
  • 5Bilu, Y., Hanrot, G., Solving Thue equations of high degree, J. Number Theory, 1996, 60: 373-392.
  • 6Thomas, E., Complete solutions to a family of cubic Diophantine equations, J. Number Theody, 1990, 34: 235-250.
  • 7Heuberger, C., Pethe, A., Tichy, R.F., Complete solution of parametrized Thue equations, Acta Math. Inform. Univ. Ostraviensis, 1998, 6: 93-113.
  • 8Tzanakis, N., Explicit solution of a class of quartic Thue equations, Acta Arith., 1993, 64: 271-283.
  • 9Dujella, A., Jadrijevi6, B., A parametric family of quartic Thue equations, Acta Arith., 2002, 101: 159-170.
  • 10Dujella, A., A family of quartic Thue inequalities, Acta Arith., 2004, 111: 61-76.

同被引文献3

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部