Singular theta lifts and near-central special values of Rankin-Selberg L-functions

In this thesis we study integrals of a product of two automorphic forms of weight 2 on a Shimura curve over Q against a function on the curve with logarithmic singularities at CM points obtained as a Borcherds lift. We prove a formula relating periods of this type to a near-central special value of a Rankin-Selberg L-function. The results provide evidence for Beilinson's conjectures on special values of L-functions.

Author dc:creator

• Garcia, Luis Emilio

• Mathematics
• Automorphic forms
• Curves, Algebraic

Language dc:language

English

DOI dc:identifier

https://doi.org/10.7916/D8891D2V

OAI identifier oai:identifier

oai:academiccommons.columbia.edu:10.7916/D8891D2V