IMSc Webinar

Joint extreme values of $L$-functions

Akshaa Vatwani

IIT Gandhinagar

We consider $L$-functions $L_1,\ldots,L_k$ from the Selberg class having polynomial Euler product and satisfying Selberg's orthonormality condition. We show that on every vertical line $s=\sigma+it$ in the complex plane with $\sigma \in(1/2,1)$, these $L$-functions simultaneously take "large" values inside a small neighborhood.
This is joint work with Kamalakshya Mahatab and Łukasz Pańkowski. Google meet link for this talk is

meet.google.com/mtr-jsdq-wwe