A method for verifying the generalized Riemann hypothesis

TL;DR

This paper introduces a generalized verification method for the Riemann hypothesis and related $L$-functions, supported by numerical results demonstrating its effectiveness.

Contribution

It develops and generalizes a verification approach for the Riemann hypothesis to a broad class of $L$-functions, enhancing previous methods.

Findings

Numerical calculations confirm the method's efficacy.

The approach successfully verifies zeros of various $L$-functions.

The method extends verification techniques to a larger class of functions.

Abstract

Riemann numerically approximated at least three zeta zeros. According to Edwards, Riemann even took steps to verify that the lowest zero he computed was indeed the first zeta zero. This approach to verification is developed, improved, and generalized to a large class of $L$-functions. Results of numerical calculations demonstrating the efficacy of the method are presented.