Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3

被引：2
|
作者：
Guillera, Jesus [1 ]
机构：
[1] Univ Zaragoza, Dept Math, Pedro Cerbuna 12, Zaragoza 50009, Spain
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2021年 / 17卷 / 02期
关键词：
Hypergeometric series; Ramanujan-type series for 1/pi; elliptic modular functions; Russell-type modular equations;
D O I：
10.1142/S1793042120400242
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using a modular equation of level 3 and degree 23 due to Chan and Liaw, we prove the fastest known (conjectured to be the fastest one) convergent rational Ramanujan-type series for 1/pi of level 3.
引用
收藏
页码：473 / 477
页数：5
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