Hyperelliptic integrals and generalized arithmetic-geometric mean

被引：2

作者：

Spandaw, Jeroen ^{[1
]}

van Straten, Duco ^{[2
]}

机构：

[1] Delft Univ Technol, NL-2628 CD Delft, Netherlands

[2] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany

来源：

RAMANUJAN JOURNAL | 2012年 / 28卷 / 01期

关键词：

Arithmetic-geometric means; Hyperelliptic integrals; Theta functions;

D O I：

10.1007/s11139-011-9353-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：61 / 78

页数：18

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