Report title: ON A SUM INVOLVING GENERAL ARITHMETIC FUNCTIONS

Reporter: Professor Wu Jie, French National Center for Scientific Research

Reporting time: 16:00-17:30, December 9, 2020

Report location: Tencent meeting

Conference ID: 623 186 331

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https://meeting.tencent.com/s/ulUbzs2lVCwn

School contact: Ma Jing jma@jlu.edu.cn

Report summary:

In this note, we give an asymptotic formula for a sum involving general arithmetic function satisfying some simple conditions.

Brief introduction of the speaker:

Ms. Wu is a first-level researcher at the French National Center for Scientific Research and a doctoral supervisor at the University of East Paris. In 1990, he received his Ph.D. degree from the University of Paris-sur-Sud, France, and in the same year he joined the French Research Center (CNRS) to engage in analytical number theory research. In 1994, he served as a researcher at the French Academy of Sciences. In 2011, he was awarded the honorary title of "Taishan Scholars Overseas Distinguished Experts" by Shandong Province for introducing overseas high-level innovative talents. The research work covers multiple fields such as prime number distribution, exponential sum, modular form, and L-function. So far, more than 80 papers have been published in international mathematics journals. In particular, important results have been achieved on topics such as Goldbach conjecture, Montgomery-Vaughan conjecture, and Manin conjecture.