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 Lukasz Pankowski.

- All seminars.
- Seminars for 2020

Last updated: 11 Dec 2023