J4 ›› 2009, Vol. 44 ›› Issue (8): 1-12.

• Articles •     Next Articles

Roth’s theorem and abc-conjecture

  

  1. 1. Department of Mathematics,Shandong University,Jinan 250100, Shandong, China;
    2. Department of Mathematics, The Hong Kong University of Science and Technology , Hong Kong, China
  • Received:2009-04-21 Online:2009-08-16 Published:2009-11-08
  • Contact: PeiChu Hu(1961-), Male, Professor, Research Interests: complex analysis, functions of one complex variable, differential geometry. E-mail:pchu@sdu.edu.cn
  • About author:PeiChu Hu(1961-), Male, Professor, Research Interests: complex analysis, functions of one complex variable, differential geometry.
  • Supported by:

    The work of first author was partially supported by  NSFC of China.

Abstract:

In this survey, we compare Roth’s theorem with abc-conjecture, and introdu ce an approach routine for the abc-conjecture.

Key words: Diophantine approximation; Roth’s theorem; abc-conjecture

CLC Number: 

  • O174
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