Conditional estimates for logarithms and logarithmic derivatives in the Selberg class
Speaker: Neea Palojärvi
Date: Mon, Oct 16, 2023
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Analytic Aspects of L-functions and Applications to Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Mon, Oct 16, 2023
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Analytic Aspects of L-functions and Applications to Number Theory
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
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
