Alladi Ramakrishnan Hall

Distribution of zeros of higher derivatives of the Riemann zeta function.

Mithun Das

NISER, Bhubaneswar

In this talk, we shall discuss about a refinement of the error term in the classical results of Levinson and Montgomery
on zero density estimates of $\zeta^{(k)}$. We obtain such result by applying the mean square of the product of
$k$-th order derivative of the Riemann zeta function with mollifier in short intervals. This mean square result
aligns with the spirit of the seminal work by Balasubramanian, Conrey, and Heath-Brown (1985). This is joint work with S. Pujahari.