Minimum of quadratic forms with respect to Fuchsian groups. II.

Minimum of quadratic forms with respect to Fuchsian groups. II.
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Fuchsian 群的最小二次形式。

DOI:
10.1515/crll.1977.292.109
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发表时间:
1976
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
Asmus L. Schmidt
Asmus L. Schmidt
中科院分区:
--
文献类型:
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作者:
Asmus L. Schmidt

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我们将专门讨论描述低于3Rp的最小极限点的9的部分的问题。事实上,文献[1]已经统一地证明了:[0,3[={]/9-4/x|or·ö/Jr或L/36-L2/)r或|/3o-24/z^|3是关于亏格为0的Z2*Z2*Z2代数型适当Fuchsian群的极小值,其中所涉及的四个方程是äS丢番图方程。
We shall be concerned exclusively with the problem of describing the part of 9 below the smallest limit point of 3RP. In fact, it was proved in a unified way in [1] by considering the minimum with respect to appropriate Fuchsian groups of algebraic type Z2 * Z2 * Z2 and of genus 0, that [0, 3[ = {]/ 9-4/x| or or •ö/jr or l/36 — l2/)r or |/3o —24/z^|3; where the four equations involved are considered äs Diophantine equations.