CM values of automorphic Green functions on orthogonal groups over totally real fields

zbMath1276.14038arXiv1004.3720MaRDI QIDQ4648155

Tonghai Yang, Jan Hendrik Bruinier

Publication date: 8 November 2012

Full work available at URL: https://arxiv.org/abs/1004.3720

zbMATH Keywords

CM valuesBorcherds productautomorphic Green functionsregularized theta liftsGross and Zagier formulaShimura curves and varieties

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (5)

Algebraicity of higher Green functions at a CM point ⋮ Eisenstein series for \(\mathrm{SL}(2)\) ⋮ Green forms and the arithmetic Siegel-Weil formula ⋮ Special values of hypergeometric functions and periods of CM elliptic curves ⋮ The Chowla–Selberg formula for abelian CM fields and Faltings heights

This page was built for publication: CM values of automorphic Green functions on orthogonal groups over totally real fields