# Some assertions that are equivalent to Riemann hypothesis

## TL;DR

This paper explores various assertions in harmonic analysis on the infinite dimensional torus and demonstrates their equivalence to the Riemann hypothesis, providing new perspectives on this famous conjecture.

## Contribution

It introduces specific harmonic analysis assertions and proves their equivalence to the Riemann hypothesis, linking number theory and harmonic analysis in a novel way.

## Key findings

- Assertions in harmonic analysis are equivalent to the Riemann hypothesis
- New connections between harmonic analysis and number theory are established
- Potential pathways for approaching the Riemann hypothesis are suggested

## Abstract

Some assertions in harmonic analysis on the infinite dimensional torus are stated and their equivalence to Riemann hypothesis is proved.