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Sato-Tate Problem for GL(3)

Fan Zhou

Title:
Sato-Tate Problem for GL(3)
Author(s):
Zhou, Fan
Thesis Advisor(s):
Goldfeld, Dorian
Date:
Type:
Theses
Degree:
Ph.D., Columbia University
Department(s):
Mathematics
Persistent URL:
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 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.
Subject(s):
Mathematics
Item views
1132
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Suggested Citation:
Fan Zhou, , Sato-Tate Problem for GL(3), Columbia University Academic Commons, .

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