Abhishek.Jha

Affiliation: University of Illinois Urbana-Champaign

Title Of Talk: 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 $p\le q^C$ such that $p\equiv a\pmod{q}$. 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.

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