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.
AC:P:20048
Academic Commons
Zhou, Fan
Author
Goldfeld, Dorian
Thesis advisor
Columbia University. Mathematics
Originator
Theses
English
Mathematics
text
2013
eng
2017-06-08T13:55:12Z
2017-11-10T07:26:17Z
Ph.D.
2
Mathematics
Columbia University
10.7916/D8DR32QQ