Ben Green: On Sarkozy's theorem for shifted primes (NTWS 171)
Channel: Number Theory Web Seminar
Date: 11/05/2023

Abstract: Suppose that N is large and that A is a subset of {1,..,N} which does not contain two elements x, y with x - y equal to p-1, p a prime. Then A has cardinality at most N^{1 - c}, for some absolute and positive c. I will discuss the history of this kind of question as well as some aspects of the proof of the stated result. 

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date:
Thursday, May 11, 2023 (8am PDT, 11am EDT, 4pm GMT, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 12, 2023 (1am AEST, 3am NZST)