The aim is to provide a non-local approach to validate the Generalized Riemann Hypothesis for specific Dirichlet L-functions.
Developed a non-local framework to analyze quadratic Dirichlet L-functions associated with odd primes.
Focused on L(s, χp) where p ≡ 3 (mod 4).
Applied rigorous mathematical techniques to establish necessary conditions for GRH validation.
Demonstrated a viable non-local resolution approach for the Generalized Riemann Hypothesis.
Validated properties of quadratic Dirichlet L-functions for the selected classes of primes.
Abstract
We present a rigorous, non-local framework for the validation of the Generalized Riemann Hypothesis (GRH) for quadratic Dirichlet L-functions L(s, χp) associated with odd primes p ≡ 3 (mod 4).