Quadratic Lagrange spectrum
Quadratic Lagrange spectrum
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二次拉格朗日谱
DOI：
10.1007/s00209-016-1624-y
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发表时间：
2016
影响因子：
0.8
通讯作者：
T. Pejkovic
中科院分区：
文献类型：
--
作者：
T. Pejkovic
研究了由Parkkonen和Paulin定义的二次型拉格朗日谱，考虑了正则连分式展开式最终周期与固定二次型或其伽罗瓦共轭周期相同的二次型的近似。我们改进了所涉及的近似常数的上界，从而证明了Bugeaud提出的一个猜想。
We study the quadratic Lagrange spectrum defined by Parkkonen and Paulin by considering the approximation by quadratic numbers whose regular continued fraction expansion is ultimately periodic with the same period as a fixed quadratic number or its Galois conjugate. We improve the upper bound on the approximation constants involved thereby proving a conjecture stated by Bugeaud.