Conditional estimates for logarithms and logarithmic derivatives in the Selberg class

Neea Palojärvi

The Selberg class consists of functions sharing similar properties to the Riemann zeta function. The Riemann zeta function is one example of the functions in this class. The estimates for logarithms of Selberg class functions and their logarithmic derivatives are connected to, for example, primes in arithmetic progressions. In this talk, I will discuss about effective and explicit estimates for logarithms and logarithmic derivatives of the Selberg class functions when Re(s) ≥ 1/2+ where

https://mathtube.org/lecture/video/conditional-estimates-logarithms-and-logarithmic-derivatives-selberg-class

Mathtube- Analytic Aspects of L-functions and Applications to Number Theory