Integer solutions to decomposable form inequalities

JOURNAL OF NUMBER THEORY

卷:115

Article

Chen, ZH ; Ru, M

关键词: decomposable form inequality;    integer solutions;    diophantine approximations;    Schmidt's subspace theorem;   

DOI  :  10.1016/j.jnt.2004.10.004

来源: Elsevier

【 摘 要 】

This paper obtains a result on the finiteness of the number of integer solutions to decomposable form inequalities. Let k be a number field and let F(X-1,...,X-m) be a non-degenerate decomposable form with coefficients in k. We prove that, for every finite set of places S of k containing the archimedean places of k, for each real number), lambda < 1/m-1 and for each constant c > 0, the inequality [GRAPHICS] has only finitely many (O-S*-non-proportional solutions. (c) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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