On Diophantine exponents and Khintchine's transference principle
On Diophantine exponents and Khintchine's transference principle
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论丢番图指数和辛钦的移情原理
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
O. German
中科院分区：
文献类型：
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作者：
O. German
本文改进了线性转置系统中一致丢梵图指数的Jarnik和Apfelbeck估计，并将Laurent和Bugeaud估计推广到任意系统中单个指数的情况。该方法还给出了马勒转移定理中一个较好的常数。
In this paper we improve estimates of Jarnik and Apfelbeck for uniform Diophantine exponents of transposed systems of linear forms and generalize to the case of an arbitrary system the estimates of Laurent and Bugeaud for individual exponents. The method proposed also gives a better constant in Mahler's transference theorem.