SatoTate Problem for GL(3)
 Title:
 SatoTate Problem for GL(3)
 Author(s):
 Zhou, Fan
 Thesis Advisor(s):
 Goldfeld, Dorian
 Date:
 2013
 Type:
 Dissertations
 Department(s):
 Mathematics
 Persistent URL:
 http://hdl.handle.net/10022/AC:P:20048
 Notes:
 Ph.D., Columbia University.
 Abstract:
 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 SatoTate measure) for the pth 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.
 Subject(s):
 Mathematics
 Item views
 1017
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 Suggested Citation:
 Fan Zhou, 2013, SatoTate Problem for GL(3), Columbia University Academic Commons, http://hdl.handle.net/10022/AC:P:20048.