Moments of Fourier Coefficients of Symmetric Power Representations with Applications
Title: Moments of Fourier Coefficients of Symmetric Power Representations with Applications
Speaker: Dr. Liyang Yang (California Institute of Technology)
Time: 10:00-12:00am, July15
Location: Room 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus
Abstract: In this talk, In this talk, we give nontrivial upper bounds for certain moments of Fourier coefficients associated to $/Sym^k/pi,$ where $/pi$ is a non-dihedral cuspidal representation of $/GL(2,/mathbb{A}_{/mathbb{Q}})$ and $1/leq k /leq 3.$ These bounds generalize known results in holomorphic case to Maass forms, without assuming Ramanujan-Petersson conjecture. Also, some applications will be discussed.
Contact Person: Zhi Qi (zhi.qi@zju.edu.cn)