2013 Theses Doctoral

# Sato-Tate Problem for GL(3)

Based upon the work of Goldfeld and Kontorovich on the Kuznetsov trace formula of Maass forms for SL(3,Z), we prove a weighted vertical equidistribution theorem (with respect to the generalized Sato-Tate measure) for the p-th Hecke eigenvalue of Maass forms, with the rate of convergence. With a conjectured orthogonality relation between the Fourier coefficients of Maass forms for SL(N,Z) for N≥4, we generalize the above equidistribution theorem to N≥4.

## Subjects

## Files

- Zhou_columbia_0054D_11245.pdf application/pdf 308 KB Download File

## More About This Work

- Academic Units
- Mathematics
- Thesis Advisors
- Goldfeld, Dorian
- Degree
- Ph.D., Columbia University
- Published Here
- April 30, 2013