An edition of Sato-Tate Problem for GL(3)
(2013)
Sato-Tate Problem for GL(3)
by Fan Zhou
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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.
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Department: Mathematics.
Thesis advisor: Dorian Goldfeld.
Thesis (Ph.D.)--Columbia University, 2013.
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