Fan Zhou - Mathematics&Statistics - University of Maine
University of Maine
Mathematics and Statistics
Email: fan.zhou [at] maine.edu
Office: Neville Hall 323
My research concentrates on number theory, in particular, automorphic form, L-functions, the Langlands program, and some aspect of analytic number theory. Some of my recent work involves studying Maass cusp forms on GL(n) and their L-functions.
Publications and Preprints
"The Voronoi formula on GL(3) with ramification."
arXiv preprint arXiv:1806.10786 (2018).
"Plancherel distribution of Satake parameters of Maass cusp forms on GL3."
(with Jack Buttcane)
International Mathematics Research Notices, rny061, advance online publication.
"On the Hecke eigenvalues of Maass forms."
(with Wenzhi Luo)
American Journal of Mathematics, accepted in 2017.
"The balanced Voronoi formulas for GL(n)."
(with Stephen D. Miller)
International Mathematics Research Notices, rnx218, advance online publication.
"The Voronoi formula and double Dirichlet series."
(with Eren Mehmet Kıral)
Algebra&Number Theory 10-10 (2016), 2267--2286.
"Voronoi summation formulae on GL(n)."
Journal of Number Theory 162 (2016): 483-495.
"Weighted Sato-Tate vertical distribution of the Satake parameters of Maass forms on PGL(N)."
The Ramanujan Journal 35, no. 3 (2014): 405-425.
"Sato-Tate problem for GL(3)."
Doctoral Dissertation, Columbia University, 2013.
"Airliner boarding and deplaning strategy."
Linbo Zhao and Guozhen Wang)
Undergrad. Math. Appl. 28 (2007): 405-420.