Hyperelliptic integrals and generalized arithmetic–geometric mean

被引：0
|
作者：
Jeroen Spandaw
Duco van Straten
机构：
[1] Delft University of Technology,Institut für Mathematik
[2] Johannes Gutenberg University,undefined
来源：
The Ramanujan Journal | 2012年 / 28卷
关键词：
Arithmetic–geometric means; Hyperelliptic integrals; Theta functions; 14K25; 11B83; 11F27; 14H40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show how certain determinants of hyperelliptic periods can be computed using a generalized arithmetic-geometric mean iteration, whose initialisation parameters depend only on the position of the ramification points. Special attention is paid to the explicit form of this dependence and the signs occurring in the real domain.
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页码：61 / 78
页数：17
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