Title：Piatetski-Shapiro primes in arithmetic progressions

Abstract：Let  be the Piatetski-Shapiro sequence.In this Talk,it is proved that there exist infinitely many Piatetski--Shapiro

primes in arithmetic progressions for 1<c<. Moreover, we also provethat there exist infinitely many Carmichael numbers composed entirelyof primes from Piatetski-Shapiro sequences for 1<c<. These two theorems constitute improvements upon the previous results of Baker, Banks, Brüdern, Shparlinski and Weingartner.

Speaker：Professor Victor Zhenyu Guo

Xian Jiaotong University

Date：16:00pm-17:00pm 2023-3-17（Friday)

Venue: Conference room 208，School of Mathematical Science

Organizer：School of Mathematical Science

Students and teachers who are interested in Number Theory are welcome.