Difference of modular functions and their CM value factorization

DOI10.1090/tran/7479zbMath1412.14018arXiv1711.02983OpenAlexW2964189412MaRDI QIDQ4645123

Hongbo Yin, Tonghai Yang

Publication date: 10 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02983

zbMATH Keywords

modular functionsfactorization formulabig CM value formulaBorcherd liftings

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items

On a conjecture of Chen and Yui: Resultants and discriminants ⋮ On a conjecture of Chen and Yui: Fricke groups ⋮ Algebraicity of higher Green functions at a CM point ⋮ On a conjecture of Yui and Zagier ⋮ Twisted Borcherds products associated to genus zero \(\Gamma_0(N)\) ⋮ Singular units and isogenies between CM elliptic curves ⋮ CM values of Green functions associated to special cycles on Shimura varieties with applications to Siegel 3-fold \(X_{2}(2)\) ⋮ Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas

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