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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Li, W.-C.W., Long, L., Tu, F.-T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209760
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Computing Special L-Values of Certain Modular Forms with Complex Multiplication / W.-C.W. Li, L. Long, F.-T. Tu // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 45 назв. — англ.

In this expository paper, we illustrate two explicit methods that 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.