Deformations of Theta Integrals and A Conjecture of Gross-Zagier

In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over a real quadratic field, which is constructed...

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Bibliographic Details
Main Authors: Jan H. Bruinier, Yingkun Li, Tonghai Yang
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001397/type/journal_article
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