# Fan Zhou

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.

**Curriculum Vitae**

### 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 GL_{3}."

(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."

(with
Linbo Zhao and Guozhen Wang)

**Undergrad. Math. Appl.** 28 (2007): 405-420.