报告人: 陈国华 博士
单 位: 华北水利水电大学
讲学时间: 2018年8月15日下午:17:00
讲学地点: 数鱼虾蟹游戏
南研
摘 要: Suppose that $q$ and $r$ are two distinct large primes. Let g be a cuspidal Hecke eigenform of level 1 and even weight k_1 and H_{k_2}(q) be the set of cuspidal Hecke eigenforms of level q and even weight k_2. In this paper, we investigate the averages of the product of the central values of two $L$-functions of modular forms f \in H_{k_2}(q) and g twisted by all primitive Dirichlet characters modulo $r$ and obtain an asymptotic formula with a power saving error term under certain assumptions.
报告人简介:
陈国华, 2014年获华北水利水电大学应用数学专业硕士学位,2018年获山东大学基础数学博士学位。2016.09-2017.09 国家公派德国哥廷根大学联合培养一年,指导教师 Valentin Blomer 教授。主要从事经典解析数论以及自守L-函数方面的研究。