Title: Some problems about friable numbers in Piatetski-Shapiro sequences

Speaker: Wenbin Zhu (朱文斌)

Affiliation: Qilu University of Technology

Venue: C702, Mingde Building, Shandong University, Jinan

Time: Jun.12, 2024

Abstract: In this talk, we will show several results about friable numbers in Piatetski-Shapiro sequences, such as the ternary Goldbach type result, Diophantine approximation, almost primes, intersections of Piatetski-Shapiro sequences and so on. These results were established mainly by two exponential sums involving fractional powers over friable numbers. The proofs of these exponential sums rely on the method of double sums, the exponential sums over integers and some properties of friable numbers.