题目：An analogue of Siegel's theorem for function fields and applications

报告时间：2025年9月26日 14:30-16:30

报告地点：数理楼245教室

摘要：Let  be the finite field with  elements, andKan algebraic function field over  with  as its field of constants. LetSbe a finite nonempty set of prime divisors ofK, and  the ring of integers ofKassociated withS. In this talk, I will show a Siege's summation formula over  and apply it to problems including character sum, the least primitive root modulo prime ideal, and the counting of square-free elements.

报告人：刘思汉, 博士毕业于清华大学，现在中国科学院数学所从事博士后研究工作。研究方向为数论。