Seminar| Institute of Mathematical Sciences
Time: Wednesday, October 15th, 2025,16:00-17:00
Location: RS408, IMS
Speaker: Xin Lin, SHANGHAI MARITIME UNIVERSITY
Abstract: The classical n-variable Kloosterman sums over finite fields are well understood by Deligne’s theorem from complex point of view and by Sperber’s theorem from p-adic point of view. In this talk, we study the complex and p-adic estimates of inverted n-variable Kloosterman sums, addressing a question of N. Katz (1995). From the global perspective, we view the inverted n-variable Kloosterman sums as an algebraic integer in the p-th cyclotomic field Q(ζp) and study its algebraic degree. This is a joint work with Prof. Daqing Wan.