A simple proof of the generalized strong recurrence for any non-zero parameter

TL;DR

This paper provides a straightforward proof of the generalized strong recurrence property for all non-zero parameters, which is closely related to the Riemann hypothesis.

Contribution

It offers a simple proof of the generalized strong recurrence for any non-zero parameter, advancing understanding of this property in relation to the Riemann hypothesis.

Findings

Proof of generalized strong recurrence for all non-zero parameters

Clarification of the relationship between strong recurrence and the Riemann hypothesis

Simplification of previous proofs or approaches

Abstract

The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters.