Search ETDs:
On certain results on the local gamma factors for the symplectic and unitary groups
Zhang, Qing

2016, Doctor of Philosophy, Ohio State University, Mathematics.
In this thesis, we prove several results on the local gamma factors for symplectic groups and unitary groups. First, we prove the dependence relation of the local gamma factors on the additive character ¿. Second, we prove a stability property of the partial Bessel functions associated with Howe vectors, which will be used to reprove the stability property of the local gamma factors. We also prove a local converse theorem for U(2, 2).
James Cogdell (Advisor)
Ghaith Hiary (Committee Member)
Wenzhi Luo (Committee Member)
148 p.

Recommended Citations

Hide/Show APA Citation

Zhang, Q. (2016). On certain results on the local gamma factors for the symplectic and unitary groups. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Zhang, Qing. "On certain results on the local gamma factors for the symplectic and unitary groups." Electronic Thesis or Dissertation. Ohio State University, 2016. OhioLINK Electronic Theses and Dissertations Center. 23 Nov 2017.

Hide/Show Chicago Citation

Zhang, Qing "On certain results on the local gamma factors for the symplectic and unitary groups." Electronic Thesis or Dissertation. Ohio State University, 2016. https://etd.ohiolink.edu/

Files

Qing Zhang's thesis.pdf (620.91 KB) View|Download