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

Wen-Ching Winnie Li ; Ling Long ; Fang-Ting Tu

Symmetry, integrability and geometry: methods and applications, Tome 14 (2018)

Résumé

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 $\mathbb{Q}$.

Détail

Keywords: $L$-values; modular forms; complex multiplications; hypergeometric functions; Eisenstein series.

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