About this document

K. Soundararajan. Extreme Values of Zeta and L-Functions. Math. Ann by Ahammad Mostafa Hossain is a document available to read on EtoBox.

This paper introduces a resonance method to derive large values of the Riemann zeta function and central values of L-functions, presenting Theorems that establish lower bounds for these values. The author builds on previous work by Titchmarsh and Montgomery, improving results and suggesting the existence of even larger values. Additionally, the method is shown to extend to families of L-functions, providing significant insights into their behavior and distribution.

Author

Ahammad Mostafa Hossain

Language

EN