讲座题目1：Bounds on bilinear sums Kloosterman sums

讲座时间：15:00

讲座内容简介：

In this talk we shall discuss some elementary arguments to obtain new bounds on bilinear sums with weighted Kloosterman sums which complements those recently obtained by E. Kowalski, P Michel and W. Sawin (2020) and shall discuss its possible applications to get average values of divisor functions over families of arithmetic progressions.

讲座题目2：Higher order moments of generalised quadratic Gauss sums weighted byL-functions.

讲座时间：16:50

讲座内容简介：The main purpose of this talk is to study higher order moments of the generalized quadratic Gauss sums weighted by L-functions using estimates for character sums and analytic methods. We find asymptotic formulas for a few character sums which arise naturally in the study of higher order moments. We then use these character sum estimates to deduce asymptotic formula for the higher order moments of the generalized quadratic Gauss sums weighted by L-functions.

讲座人简介：

Nilanjan Bag，印度籍博士后，博士毕业于IndianInstitute of Technology Guwahati。主要从事解析数论相关方向研究，在FiniteFieldsandTheirApplications，JournalofNumberTheory等国际期刊发表论文数十篇。其研究方向主要涉及指数和、特征和及L-函数等相关问题。曾于2021年获NBHM博士后奖学金，于2021年-2022年获印度Harish-Chandra研究所博士后研究金，于2017年获CRIS颁发的初级研究奖学金。