Computing Special L-Values of Certain Modular Forms with Complex Multiplication

被引：1
作者：
Li, Wen-Ching Winnie [1 ]
Long, Ling [2 ]
Tu, Fang-Ting [2 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷
基金：
美国国家科学基金会;
关键词：
L-values; modular forms; complex multiplications; hypergeometric functions; Eisenstein series; PERIODS; CURVES;
D O I：
10.3842/SIGMA.2018.090
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this expository paper, we illustrate two explicit methods which lead to special L-values of certain modular forms admitting complex multiplication (CM), motivated in part by properties of L-functions obtained from Calabi-Yau manifolds defined over Q.
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页数：32
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