School of Mathematical Sciences Academic Report [2025] 050

(High-Level University Construction Series Report No. 1072)

Lecture Title: Correlations of multiplicative functions

Speaker: Prof. Yujiao Jiang (Shandong University, Weihai)

Date & Time: 5:00 - 5:30 PM, June 23, 2025

Venue: Room 2433, Convergence Building

Abstract: Understanding the correlations of multiplicative functions is a central issue in analytic number theory, closely linked to several unsolved problems such as Chowla's conjecture on the autocorrelation of the Möbius function and the additive divisor problem. In this talk, we will discuss our work concerning the correlations on two types of multiplicative functions. As applications, we make some progress on shifted convolution problems for GL(m)×GL(2) (m≥4) and Hypothesis C of Iwaniec-Luo-Sarnak.

Biography: Yujiao Jiang, Professor at Shandong University (Weihai), specializes in analytic number theory and automorphic forms. He has published nearly 30 papers in internationally renowned journals including Advances in Mathematics, Mathematische Annalen, and International Mathematics Research Notices (IMRN).

All faculty and students are welcome to attend!

Invited by: Yingnan Wang

School of Mathematical Sciences

June 22, 2025