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

Symmetry Integrability and Geometry-Methods and Applications

article

Wen-Ching Winnie Li¹  Ling Long²  Fang-Ting Tu² 

[1] Department of Mathematics, Pennsylvania State University, University Park;Department of Mathematics, Louisiana State University

关键词: L-values;    modular forms;    complex multiplications;    hypergeometric functions;    Eisenstein series;   

DOI  :  10.3842/SIGMA.2018.090

来源: National Academy of Science of Ukraine

【 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 $\mathbb Q$.

【 授权许可】

Unknown