中科院数学与系统科学研究院
数学研究所
学术报告会
报告人:鲁学星(山东大学)
题 目:Hyper-Kloosterman sums of different moduli and applications
时 间:2016.06.13(星期一), 15:00-16:00
地 点:晨兴510室
摘 要:
Hyper-Kloosterman sums of different moduli appear naturally in Voronoi's summation formula for cusp forms for GLm(Z). In this talk, thesquare moment of the Kloosterman sum is evaluated in the case of consecutively dividing moduli. As an application, smooth sums of Fourier coefficients of a Maass form for SLm(Z) against an exponential functions are stimated.