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
E-Mail: yyyliu@illinois.edu
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Originating Calendar: Number Theory Seminar Calendar; Title: Linnik's problem for Euler's totient function

Abstract: 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.

Department of Mathematics - Master Calendar