2013 Theses Doctoral
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.
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Garcia_columbia_0054D_11355.pdf application/pdf 476 KB Download File
More About This Work
- Academic Units
- Mathematics
- Thesis Advisors
- Zhang, Shou-Wu
- Degree
- Ph.D., Columbia University
- Published Here
- May 23, 2013