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.
AC:P:20421
Academic Commons
Garcia, Luis Emilio
Author
Zhang, Shou-Wu
Thesis advisor
Columbia University. Mathematics
Originator
Theses
English
Mathematics
text
2013
eng
2017-06-08T13:59:27Z
2017-11-10T07:37:17Z
Ph.D.
2
Mathematics
Columbia University
10.7916/D8891D2V