Diophantine Approximation On Bianchi Groups
Diophantine Approximation On Bianchi Groups
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Bianchi 群上的丢番图近似
DOI：
10.1006/jnth.1995.1102
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发表时间：
1995
影响因子：
0.7
通讯作者：
L. Vulakh
中科院分区：
文献类型：
--
作者：
L. Vulakh
本文提出了用虚二次数域的元素逼近复数问题的一种改进的Ford几何方法。根据等距基本域的几何关系，得到了场的Hurwitz常数的上界。求出了判别式−20和−24的域的赫尔维茨常数。
Abstract A modification of the Ford geometric approach to the problem of approximation of complex numbers by elements of an imaginary quadratic number field is developed. An upper bound for the Hurwitz constant for the field is obtained in terms of the geometry of the isometric fundamental domain for the corresponding Bianchi group. The Hurwitz constants for the fields of discriminant −20 and −24 are found.