#### 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.

Done