Holding the Line — Paper + Author's Note

The complete package for Holding the Line (Paper 1 of 30), by Daniel Toupin.

Includes:

• The research paper: rhproof.dt.v7.pdf
• Author's note PDF: a personal account of what drove the paper, what it finds, and how it fits within the project

This is the first paper in the series on the Riemann Hypothesis. It introduces the Haar-measure framework: the self-dual measure on the multiplicative group of positive reals, the Mellin transform that diagonalises its action, and the representation-theoretic argument that forces all nontrivial zeros of the Riemann zeta function onto the critical line.

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