Frantz Olivier

Publishing

Factorization of Integers

2026-03-25

Building on a recent breakthrough condition for integer factorization, this paper develops an algebraic and geometric approach to decomposing composite numbers into their prime elements.

The Riemann Hypothesis: A Symmetrical Transportation Overlay by a Gauge Point that Reveals the Compressed States of the Golden Ratio

2026-01-28

This article centers on the logical framework of the Riemann Hypothesis, introducing a geometric "gauge point" transformation that maps a symmetrical transportation overlay onto compressed states of the Golden Ratio.

The Riemann Hypothesis: Given an Arbitrary X Number the Volume of a Knapsack Containing Prime Numbers Can be Found

This paper introduces a "knapsack volume" approach for locating and counting prime numbers relative to an arbitrary input, forming the basis of this site's interactive calculation demo.

The Riemann Hypothesis: The Vision and How We Proceed

An overview paper laying out Olivier's broader research vision for approaching the Riemann Hypothesis and the direction of the work that follows.