Number Theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 145
- Date
- Nov 18, 2025 11:00 - 11:50 am
- Speaker
- Abhishek Jha (UIUC)
- Contact
- Yuan Liu
- yyyliu@illinois.edu
- Views
- 19
- Originating Calendar
- Number Theory Seminar Calendar
- Title: Linnik's problem for Euler's totient functionAbstract: Linnik's famous theorem states that there exists a positive constant C such that for any sufficiently large integer q and any integer a co-prime to q, there exists a prime number p ⩽ q^C such that p ≡ a (mod q). Thanks to works of Jutila, Heath-Brown, Xylouris and others, we now know that one may take C = 5. In this talk I will discuss a variant of Linnik's problem for the Euler's totient function.