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

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dc.contributor.authorLi, W.-C.W.
dc.contributor.authorLong, L.
dc.contributor.authorTu, F.-T.
dc.date.accessioned2025-11-26T11:22:14Z
dc.date.issued2018
dc.description.abstractIn 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.
dc.description.sponsorshipThe research of Li is partially supported by Simons Foundation grant # 355798, Long by NSF grant DMS #1602047, and Tu by the AWM-NSF Mentoring Travel Grant, which supported her visit to Pennsylvania State University to work with Li in 2017 and 2018. The authors would like to thank the anonymous referees, Jerome W. Hoffman, Ming-Lun Hsieh, Ye Tian, Yifan Yang, and Wadim Zudilin for their helpful comments and feedback. At the early stage of this work, the authors benefited from their visits to the Institute of Mathematical Research at the University of Hong Kong in the summer of 2017. To IMR, they express their gratitude for its hospitality.
dc.identifier.citationComputing 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.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.090
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 11F11; 11F67; 11M36; 33C05
dc.identifier.otherarXiv: 1803.06072
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209760
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleComputing Special L-Values of Certain Modular Forms with Complex Multiplication
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік