Number Theory

    

Proof of the Riemann Hypothesis

Authors: Johannes Debouto

The field of real numbers is essential to many scientific disciplines. The first formal constructions—which appeared long after the field's initial discovery—involve properties crucial to its modern application, most notably the property of completeness. One of the most famous of these constructions implicitly relies on the Cantor-Dedekind axiom, a concept that has often sparked controversy within the mathematical community. This work aims to demonstrate the validity of the Riemann hypothesis within the axiomatic framework of ZF plus the Cantor-Dedekind axiom, utilizing a result concerning Euler's totient function derived from the study of cyclotomic polynomials.

Comments: 13 Pages. In French

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[v1] 2026-08-02 00:16:55

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