Ramanujan-like Series for 1/π2 and String Theory

被引：6

作者：

Almkvist, Gert ^{[1
]}

Guillera, Jesus ^{[1
]}

机构：

[1] Inst Algebra Meditat, S-24333 Hoor, Sweden

来源：

EXPERIMENTAL MATHEMATICS | 2012年 / 21卷 / 03期

关键词：

Ramanujan-like series for 1/pi(2); hpergeometric series; Calabi-Yau differential equations; mirror map; Yukawa coupling; Gromov-Witten potential; FORMULAS;

D O I：

10.1080/10586458.2012.656059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the machinery from the theory of Calabi-Yau differential equations, we find formulas for 1/pi(2) of hypergeometric and nonhypergeometric types.

引用

页码：223 / 234

页数：12

共 27 条

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[4] Almkvist G., 2005, ARXIVMATH0507430
[5] Almkvist G., 2007, ARXIVMATH0703261
[6] Almkvist G, 2010, CONTEMP MATH, V517, P1
[7] Almkvist Gert, 2006, ARXIVMATH0612215
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Baruah, Nayandeep Deka
Berndt, Bruce C.
Chan, Heng Huat
[J]. AMERICAN MATHEMATICAL MONTHLY, 2009, 116 (07) : 567 - 587
[9] Berndt B. C., 1989, Ramanujan's Notebooks Part II
[10] BORWEIN J. M, 1987, A study in analytic number theory and computational complexity

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