Jesse Thorner: Remarks on Landau--Siegel zeros

In 2004, Sarnak and Zaharescu showed that if all of complex zeros of L-functions of real Dirichlet characters lie on the line Re(s) = 1/2, then one can exponentially improve the upper bound on exceptional real zeros that follows from Siegel's lower bound on L(1,chi) for quadratic characters.  I will show how to substantially weaken the Sarnak--Zaharescu hypotheses using one of Turán's lower bounds for power sums.  The method extends to other families of L-functions.  This is joint with Debmalya Basak and Alexandru Zaharescu.

https://us06web.zoom.us/j/83443978540?pwd=6bcKlaccDDretzbtfDBSHfkgjJxINz.1

Meeting ID: 834 4397 8540
Passcode: 017852