学术讨论班 – 华晟昊

Speaker: 张扬 (西安交通大学)

Time: 2026-01-21 14:00-15:10
Location: 1110, SIMIS
Zoom Meeting ID: 849 8687 4316 Passcode: SIMIS

Abstract:

The Kloosterman sum Kl(a,n) is one of the most important objects in Analytic number theory. It is generally believed that Kl(a,n) as an arithmetic function is not far away from being a multiplicative function. In this talk, I will challenge this belief. More precisely, fix any integers a≠0 and k>1, for any given nonzero complex number η and complex valued multiplicative function f, we will show that 100% of the square-free k-almost primes n satisfy Kl(a,n) ≠ηf(n).

In the first half of the talk, I will recall some basic results on Kloosterman sums, and report some recent progress on the distribution of Kl(a,n) at almost prime moduli n. In the second half, I will introduce our results and give a sketch of the proofs.

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About Speaker:

张扬，现于西安交通大学攻读博士学位，师从郗平教授，主要研究方向为解析数论，已在《Transactions of the American Mathematical Society》等期刊上发表研究成果。