报 告 题 目:On the Rankin-Selberg problem
主 讲 人:黄 炳 荣
单 位:山东大学
时 间:5月13日15:00-16:00
腾讯 ID:711-4851-3490
摘 要:
In this talk, I will introduce a method to solve the Rankin-Selberg problem on the second moment of Fourier coefficients of a GL(2) automorphic form. This improves the classical result 3/5 of Rankin and Selberg (in 1939/1940). For Hecke eigenforms we obtain an additional power saving, and for general cusp forms we only get an additional logarithmic power saving.
简 介:
黄炳荣,山东大学教授、博导。主要研究领域为数论,涉及自守形式和L-函数的解析理论、素数分布、算术量子混沌等方面的研究。研究成果发表于Journal of the European Mathematical Society、Mathematische Annalen、International Mathematics Research Notices、Communications in Mathematical Physics等国际数学期刊。