Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders

TL;DR

This paper establishes an infinite set of equivalences related to Fermat-Wiles theorem, independent of Jacob's ladders, by exploring connections with Dirichlet series.

Contribution

It introduces three new equivalents of Fermat-Wiles theorem and demonstrates an infinite, independent set of such equivalents linked to Dirichlet series.

Findings

Infinite set of points of contact between Dirichlet series and Fermat-Wiles theorem

Three new equivalents of Fermat-Wiles theorem

Existence of an infinite set of independent equivalents

Abstract

In this paper we show that there is an infinite set of points of contact between the set of all Dirichlet's series and Fermat-Wiles theorem. The proof is independent on the Jacob's ladders.